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Finding the Third Proportional to 61,317 and 132,309

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Solution

The third proportional to 61,317 and 132,309 is: 285,494.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,317 : 132,309 = 132,309 : x
  2. Step 2: Convert to fraction form
    61,317/132,309 = 132,309/x
  3. Step 3: Cross multiply
    61,317x = 132,309 × 132,309
  4. Step 4: Simplify right side
    61,317x = 17,505,671,481
  5. Step 5: Solve for x
    x = 17,505,671,481/61,317
  6. Step 6: Final answer
    x = 285,494.59

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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.