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Finding the Third Proportional to 132,718 and 291,324

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Solution

The third proportional to 132,718 and 291,324 is: 639,473.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,718 : 291,324 = 291,324 : x
  2. Step 2: Convert to fraction form
    132,718/291,324 = 291,324/x
  3. Step 3: Cross multiply
    132,718x = 291,324 × 291,324
  4. Step 4: Simplify right side
    132,718x = 84,869,672,976
  5. Step 5: Solve for x
    x = 84,869,672,976/132,718
  6. Step 6: Final answer
    x = 639,473.72

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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.