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Finding the Third Proportional to 473,753.81 and 728,929.13

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Solution

The third proportional to 473,753.81 and 728,929.13 is: 1,121,548.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,753.81 : 728,929.13 = 728,929.13 : x
  2. Step 2: Convert to fraction form
    473,753.81/728,929.13 = 728,929.13/x
  3. Step 3: Cross multiply
    473,753.81x = 728,929.13 × 728,929.13
  4. Step 4: Simplify right side
    473,753.81x = 531,337,669,273.27
  5. Step 5: Solve for x
    x = 531,337,669,273.27/473,753.81
  6. Step 6: Final answer
    x = 1,121,548.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.