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Finding the Third Proportional to 61,645 and 132,654

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Solution

The third proportional to 61,645 and 132,654 is: 285,458.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,645 : 132,654 = 132,654 : x
  2. Step 2: Convert to fraction form
    61,645/132,654 = 132,654/x
  3. Step 3: Cross multiply
    61,645x = 132,654 × 132,654
  4. Step 4: Simplify right side
    61,645x = 17,597,083,716
  5. Step 5: Solve for x
    x = 17,597,083,716/61,645
  6. Step 6: Final answer
    x = 285,458.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.