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Finding the Third Proportional to 135,780 and 292,472

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Solution

The third proportional to 135,780 and 292,472 is: 629,988.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,780 : 292,472 = 292,472 : x
  2. Step 2: Convert to fraction form
    135,780/292,472 = 292,472/x
  3. Step 3: Cross multiply
    135,780x = 292,472 × 292,472
  4. Step 4: Simplify right side
    135,780x = 85,539,870,784
  5. Step 5: Solve for x
    x = 85,539,870,784/135,780
  6. Step 6: Final answer
    x = 629,988.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.