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Finding the Third Proportional to 47,988 and 71,640

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Solution

The third proportional to 47,988 and 71,640 is: 106,949.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,988 : 71,640 = 71,640 : x
  2. Step 2: Convert to fraction form
    47,988/71,640 = 71,640/x
  3. Step 3: Cross multiply
    47,988x = 71,640 × 71,640
  4. Step 4: Simplify right side
    47,988x = 5,132,289,600
  5. Step 5: Solve for x
    x = 5,132,289,600/47,988
  6. Step 6: Final answer
    x = 106,949.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.