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Finding the Third Proportional to 60,617 and 81,540

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Solution

The third proportional to 60,617 and 81,540 is: 109,684.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,617 : 81,540 = 81,540 : x
  2. Step 2: Convert to fraction form
    60,617/81,540 = 81,540/x
  3. Step 3: Cross multiply
    60,617x = 81,540 × 81,540
  4. Step 4: Simplify right side
    60,617x = 6,648,771,600
  5. Step 5: Solve for x
    x = 6,648,771,600/60,617
  6. Step 6: Final answer
    x = 109,684.93

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.