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Finding the Third Proportional to 47,808 and 71,631

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Solution

The third proportional to 47,808 and 71,631 is: 107,325.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,808 : 71,631 = 71,631 : x
  2. Step 2: Convert to fraction form
    47,808/71,631 = 71,631/x
  3. Step 3: Cross multiply
    47,808x = 71,631 × 71,631
  4. Step 4: Simplify right side
    47,808x = 5,131,000,161
  5. Step 5: Solve for x
    x = 5,131,000,161/47,808
  6. Step 6: Final answer
    x = 107,325.14

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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.