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Finding the Third Proportional to 76,904 and 103,474

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Solution

The third proportional to 76,904 and 103,474 is: 139,223.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,904 : 103,474 = 103,474 : x
  2. Step 2: Convert to fraction form
    76,904/103,474 = 103,474/x
  3. Step 3: Cross multiply
    76,904x = 103,474 × 103,474
  4. Step 4: Simplify right side
    76,904x = 10,706,868,676
  5. Step 5: Solve for x
    x = 10,706,868,676/76,904
  6. Step 6: Final answer
    x = 139,223.82

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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.