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Finding the Third Proportional to 29,320 and 61,520

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Solution

The third proportional to 29,320 and 61,520 is: 129,082.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,320 : 61,520 = 61,520 : x
  2. Step 2: Convert to fraction form
    29,320/61,520 = 61,520/x
  3. Step 3: Cross multiply
    29,320x = 61,520 × 61,520
  4. Step 4: Simplify right side
    29,320x = 3,784,710,400
  5. Step 5: Solve for x
    x = 3,784,710,400/29,320
  6. Step 6: Final answer
    x = 129,082.89

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.