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Finding the Third Proportional to 121,708 and 181,549

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Solution

The third proportional to 121,708 and 181,549 is: 270,812.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,708 : 181,549 = 181,549 : x
  2. Step 2: Convert to fraction form
    121,708/181,549 = 181,549/x
  3. Step 3: Cross multiply
    121,708x = 181,549 × 181,549
  4. Step 4: Simplify right side
    121,708x = 32,960,039,401
  5. Step 5: Solve for x
    x = 32,960,039,401/121,708
  6. Step 6: Final answer
    x = 270,812.43

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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.