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Finding the Third Proportional to 330,721.13 and 724,499.13

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Solution

The third proportional to 330,721.13 and 724,499.13 is: 1,587,134.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,721.13 : 724,499.13 = 724,499.13 : x
  2. Step 2: Convert to fraction form
    330,721.13/724,499.13 = 724,499.13/x
  3. Step 3: Cross multiply
    330,721.13x = 724,499.13 × 724,499.13
  4. Step 4: Simplify right side
    330,721.13x = 524,898,982,125.77
  5. Step 5: Solve for x
    x = 524,898,982,125.77/330,721.13
  6. Step 6: Final answer
    x = 1,587,134.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.