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Finding the Third Proportional to 512,578.13 and 680,293.69

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Solution

The third proportional to 512,578.13 and 680,293.69 is: 902,885.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,578.13 : 680,293.69 = 680,293.69 : x
  2. Step 2: Convert to fraction form
    512,578.13/680,293.69 = 680,293.69/x
  3. Step 3: Cross multiply
    512,578.13x = 680,293.69 × 680,293.69
  4. Step 4: Simplify right side
    512,578.13x = 462,799,501,252.35
  5. Step 5: Solve for x
    x = 462,799,501,252.35/512,578.13
  6. Step 6: Final answer
    x = 902,885.78

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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.