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Finding the Third Proportional to 34,900 and 77,540

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Solution

The third proportional to 34,900 and 77,540 is: 172,276.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,900 : 77,540 = 77,540 : x
  2. Step 2: Convert to fraction form
    34,900/77,540 = 77,540/x
  3. Step 3: Cross multiply
    34,900x = 77,540 × 77,540
  4. Step 4: Simplify right side
    34,900x = 6,012,451,600
  5. Step 5: Solve for x
    x = 6,012,451,600/34,900
  6. Step 6: Final answer
    x = 172,276.55

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.