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Finding the Third Proportional to 48,512 and 72,469

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Solution

The third proportional to 48,512 and 72,469 is: 108,256.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,512 : 72,469 = 72,469 : x
  2. Step 2: Convert to fraction form
    48,512/72,469 = 72,469/x
  3. Step 3: Cross multiply
    48,512x = 72,469 × 72,469
  4. Step 4: Simplify right side
    48,512x = 5,251,755,961
  5. Step 5: Solve for x
    x = 5,251,755,961/48,512
  6. Step 6: Final answer
    x = 108,256.84

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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.