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Finding the Third Proportional to 61,700 and 132,580

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Solution

The third proportional to 61,700 and 132,580 is: 284,885.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,700 : 132,580 = 132,580 : x
  2. Step 2: Convert to fraction form
    61,700/132,580 = 132,580/x
  3. Step 3: Cross multiply
    61,700x = 132,580 × 132,580
  4. Step 4: Simplify right side
    61,700x = 17,577,456,400
  5. Step 5: Solve for x
    x = 17,577,456,400/61,700
  6. Step 6: Final answer
    x = 284,885.84

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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.