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Finding the Third Proportional to 319,449,091.50 and 477,896,643

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Solution

The third proportional to 319,449,091.50 and 477,896,643 is: 714,934,577.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,449,091.50 : 477,896,643 = 477,896,643 : x
  2. Step 2: Convert to fraction form
    319,449,091.50/477,896,643 = 477,896,643/x
  3. Step 3: Cross multiply
    319,449,091.50x = 477,896,643 × 477,896,643
  4. Step 4: Simplify right side
    319,449,091.50x = 228,385,201,390,669,440
  5. Step 5: Solve for x
    x = 228,385,201,390,669,440/319,449,091.50
  6. Step 6: Final answer
    x = 714,934,577.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.