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Finding the Third Proportional to 469,207.69 and 727,139.53

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Solution

The third proportional to 469,207.69 and 727,139.53 is: 1,126,861.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,207.69 : 727,139.53 = 727,139.53 : x
  2. Step 2: Convert to fraction form
    469,207.69/727,139.53 = 727,139.53/x
  3. Step 3: Cross multiply
    469,207.69x = 727,139.53 × 727,139.53
  4. Step 4: Simplify right side
    469,207.69x = 528,731,897,906.47
  5. Step 5: Solve for x
    x = 528,731,897,906.47/469,207.69
  6. Step 6: Final answer
    x = 1,126,861.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.