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Finding the Third Proportional to 61,496 and 132,682

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Solution

The third proportional to 61,496 and 132,682 is: 286,270.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,496 : 132,682 = 132,682 : x
  2. Step 2: Convert to fraction form
    61,496/132,682 = 132,682/x
  3. Step 3: Cross multiply
    61,496x = 132,682 × 132,682
  4. Step 4: Simplify right side
    61,496x = 17,604,513,124
  5. Step 5: Solve for x
    x = 17,604,513,124/61,496
  6. Step 6: Final answer
    x = 286,270.87

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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.