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Finding the Third Proportional to 47,470 and 68,756

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Solution

The third proportional to 47,470 and 68,756 is: 99,586.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,470 : 68,756 = 68,756 : x
  2. Step 2: Convert to fraction form
    47,470/68,756 = 68,756/x
  3. Step 3: Cross multiply
    47,470x = 68,756 × 68,756
  4. Step 4: Simplify right side
    47,470x = 4,727,387,536
  5. Step 5: Solve for x
    x = 4,727,387,536/47,470
  6. Step 6: Final answer
    x = 99,586.85

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.