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Finding the Third Proportional to 133,787 and 292,450

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Solution

The third proportional to 133,787 and 292,450 is: 639,277.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,787 : 292,450 = 292,450 : x
  2. Step 2: Convert to fraction form
    133,787/292,450 = 292,450/x
  3. Step 3: Cross multiply
    133,787x = 292,450 × 292,450
  4. Step 4: Simplify right side
    133,787x = 85,527,002,500
  5. Step 5: Solve for x
    x = 85,527,002,500/133,787
  6. Step 6: Final answer
    x = 639,277.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.