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Finding the Third Proportional to 121,689 and 181,521

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Solution

The third proportional to 121,689 and 181,521 is: 270,771.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,689 : 181,521 = 181,521 : x
  2. Step 2: Convert to fraction form
    121,689/181,521 = 181,521/x
  3. Step 3: Cross multiply
    121,689x = 181,521 × 181,521
  4. Step 4: Simplify right side
    121,689x = 32,949,873,441
  5. Step 5: Solve for x
    x = 32,949,873,441/121,689
  6. Step 6: Final answer
    x = 270,771.17

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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.