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Finding the Third Proportional to 81,648 and 124,902

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Solution

The third proportional to 81,648 and 124,902 is: 191,070.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,648 : 124,902 = 124,902 : x
  2. Step 2: Convert to fraction form
    81,648/124,902 = 124,902/x
  3. Step 3: Cross multiply
    81,648x = 124,902 × 124,902
  4. Step 4: Simplify right side
    81,648x = 15,600,509,604
  5. Step 5: Solve for x
    x = 15,600,509,604/81,648
  6. Step 6: Final answer
    x = 191,070.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.