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Finding the Third Proportional to 29,058 and 61,380

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Solution

The third proportional to 29,058 and 61,380 is: 129,654.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,058 : 61,380 = 61,380 : x
  2. Step 2: Convert to fraction form
    29,058/61,380 = 61,380/x
  3. Step 3: Cross multiply
    29,058x = 61,380 × 61,380
  4. Step 4: Simplify right side
    29,058x = 3,767,504,400
  5. Step 5: Solve for x
    x = 3,767,504,400/29,058
  6. Step 6: Final answer
    x = 129,654.64

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.