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Finding the Third Proportional to 398,044.13 and 530,317.13

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Solution

The third proportional to 398,044.13 and 530,317.13 is: 706,545.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,044.13 : 530,317.13 = 530,317.13 : x
  2. Step 2: Convert to fraction form
    398,044.13/530,317.13 = 530,317.13/x
  3. Step 3: Cross multiply
    398,044.13x = 530,317.13 × 530,317.13
  4. Step 4: Simplify right side
    398,044.13x = 281,236,253,068.27
  5. Step 5: Solve for x
    x = 281,236,253,068.27/398,044.13
  6. Step 6: Final answer
    x = 706,545.42

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.