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Finding the Third Proportional to 132,902.25 and 291,639

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Solution

The third proportional to 132,902.25 and 291,639 is: 639,968.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,902.25 : 291,639 = 291,639 : x
  2. Step 2: Convert to fraction form
    132,902.25/291,639 = 291,639/x
  3. Step 3: Cross multiply
    132,902.25x = 291,639 × 291,639
  4. Step 4: Simplify right side
    132,902.25x = 85,053,306,321
  5. Step 5: Solve for x
    x = 85,053,306,321/132,902.25
  6. Step 6: Final answer
    x = 639,968.90

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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.