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Finding the Third Proportional to 316,477,119,200.50 and 678,896,063,346

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Solution

The third proportional to 316,477,119,200.50 and 678,896,063,346 is: 1,456,344,983,141.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,477,119,200.50 : 678,896,063,346 = 678,896,063,346 : x
  2. Step 2: Convert to fraction form
    316,477,119,200.50/678,896,063,346 = 678,896,063,346/x
  3. Step 3: Cross multiply
    316,477,119,200.50x = 678,896,063,346 × 678,896,063,346
  4. Step 4: Simplify right side
    316,477,119,200.50x = 460,899,864,826,696,016,330,752
  5. Step 5: Solve for x
    x = 460,899,864,826,696,016,330,752/316,477,119,200.50
  6. Step 6: Final answer
    x = 1,456,344,983,141.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.