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Finding the Third Proportional to 71,728 and 104,902

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Solution

The third proportional to 71,728 and 104,902 is: 153,418.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,728 : 104,902 = 104,902 : x
  2. Step 2: Convert to fraction form
    71,728/104,902 = 104,902/x
  3. Step 3: Cross multiply
    71,728x = 104,902 × 104,902
  4. Step 4: Simplify right side
    71,728x = 11,004,429,604
  5. Step 5: Solve for x
    x = 11,004,429,604/71,728
  6. Step 6: Final answer
    x = 153,418.88

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.