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Finding the Third Proportional to 121,702 and 181,540

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Solution

The third proportional to 121,702 and 181,540 is: 270,798.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,702 : 181,540 = 181,540 : x
  2. Step 2: Convert to fraction form
    121,702/181,540 = 181,540/x
  3. Step 3: Cross multiply
    121,702x = 181,540 × 181,540
  4. Step 4: Simplify right side
    121,702x = 32,956,771,600
  5. Step 5: Solve for x
    x = 32,956,771,600/121,702
  6. Step 6: Final answer
    x = 270,798.93

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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.