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Finding the Third Proportional to 60,900 and 81,466

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Solution

The third proportional to 60,900 and 81,466 is: 108,977.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,900 : 81,466 = 81,466 : x
  2. Step 2: Convert to fraction form
    60,900/81,466 = 81,466/x
  3. Step 3: Cross multiply
    60,900x = 81,466 × 81,466
  4. Step 4: Simplify right side
    60,900x = 6,636,709,156
  5. Step 5: Solve for x
    x = 6,636,709,156/60,900
  6. Step 6: Final answer
    x = 108,977.16

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.