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Finding the Third Proportional to 513,720 and 813,412

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Solution

The third proportional to 513,720 and 813,412 is: 1,287,937.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,720 : 813,412 = 813,412 : x
  2. Step 2: Convert to fraction form
    513,720/813,412 = 813,412/x
  3. Step 3: Cross multiply
    513,720x = 813,412 × 813,412
  4. Step 4: Simplify right side
    513,720x = 661,639,081,744
  5. Step 5: Solve for x
    x = 661,639,081,744/513,720
  6. Step 6: Final answer
    x = 1,287,937.17

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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.