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Finding the Third Proportional to 61,570 and 132,982

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Solution

The third proportional to 61,570 and 132,982 is: 287,221.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,570 : 132,982 = 132,982 : x
  2. Step 2: Convert to fraction form
    61,570/132,982 = 132,982/x
  3. Step 3: Cross multiply
    61,570x = 132,982 × 132,982
  4. Step 4: Simplify right side
    61,570x = 17,684,212,324
  5. Step 5: Solve for x
    x = 17,684,212,324/61,570
  6. Step 6: Final answer
    x = 287,221.25

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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.