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Finding the Third Proportional to 61,491 and 132,669

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Solution

The third proportional to 61,491 and 132,669 is: 286,238.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,491 : 132,669 = 132,669 : x
  2. Step 2: Convert to fraction form
    61,491/132,669 = 132,669/x
  3. Step 3: Cross multiply
    61,491x = 132,669 × 132,669
  4. Step 4: Simplify right side
    61,491x = 17,601,063,561
  5. Step 5: Solve for x
    x = 17,601,063,561/61,491
  6. Step 6: Final answer
    x = 286,238.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.