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Finding the Third Proportional to 513,712.13 and 813,402

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Solution

The third proportional to 513,712.13 and 813,402 is: 1,287,925.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,712.13 : 813,402 = 813,402 : x
  2. Step 2: Convert to fraction form
    513,712.13/813,402 = 813,402/x
  3. Step 3: Cross multiply
    513,712.13x = 813,402 × 813,402
  4. Step 4: Simplify right side
    513,712.13x = 661,622,813,604
  5. Step 5: Solve for x
    x = 661,622,813,604/513,712.13
  6. Step 6: Final answer
    x = 1,287,925.24

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.