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Finding the Third Proportional to 132,978 and 292,920

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Solution

The third proportional to 132,978 and 292,920 is: 645,235.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,978 : 292,920 = 292,920 : x
  2. Step 2: Convert to fraction form
    132,978/292,920 = 292,920/x
  3. Step 3: Cross multiply
    132,978x = 292,920 × 292,920
  4. Step 4: Simplify right side
    132,978x = 85,802,126,400
  5. Step 5: Solve for x
    x = 85,802,126,400/132,978
  6. Step 6: Final answer
    x = 645,235.50

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.