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Finding the Third Proportional to 47,400 and 71,028

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Solution

The third proportional to 47,400 and 71,028 is: 106,434.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,400 : 71,028 = 71,028 : x
  2. Step 2: Convert to fraction form
    47,400/71,028 = 71,028/x
  3. Step 3: Cross multiply
    47,400x = 71,028 × 71,028
  4. Step 4: Simplify right side
    47,400x = 5,044,976,784
  5. Step 5: Solve for x
    x = 5,044,976,784/47,400
  6. Step 6: Final answer
    x = 106,434.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.