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Finding the Third Proportional to 508,693.92 and 787,308.61

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Solution

The third proportional to 508,693.92 and 787,308.61 is: 1,218,522.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,693.92 : 787,308.61 = 787,308.61 : x
  2. Step 2: Convert to fraction form
    508,693.92/787,308.61 = 787,308.61/x
  3. Step 3: Cross multiply
    508,693.92x = 787,308.61 × 787,308.61
  4. Step 4: Simplify right side
    508,693.92x = 619,854,846,396.00
  5. Step 5: Solve for x
    x = 619,854,846,396.00/508,693.92
  6. Step 6: Final answer
    x = 1,218,522.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.