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Finding the Third Proportional to 163,953 and 386,878.50

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Solution

The third proportional to 163,953 and 386,878.50 is: 912,913.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,953 : 386,878.50 = 386,878.50 : x
  2. Step 2: Convert to fraction form
    163,953/386,878.50 = 386,878.50/x
  3. Step 3: Cross multiply
    163,953x = 386,878.50 × 386,878.50
  4. Step 4: Simplify right side
    163,953x = 149,674,973,762.25
  5. Step 5: Solve for x
    x = 149,674,973,762.25/163,953
  6. Step 6: Final answer
    x = 912,913.91

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.