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Finding the Third Proportional to 29,810 and 61,540

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Solution

The third proportional to 29,810 and 61,540 is: 127,043.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,810 : 61,540 = 61,540 : x
  2. Step 2: Convert to fraction form
    29,810/61,540 = 61,540/x
  3. Step 3: Cross multiply
    29,810x = 61,540 × 61,540
  4. Step 4: Simplify right side
    29,810x = 3,787,171,600
  5. Step 5: Solve for x
    x = 3,787,171,600/29,810
  6. Step 6: Final answer
    x = 127,043.66

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.