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Finding the Third Proportional to 121,521 and 181,029

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Solution

The third proportional to 121,521 and 181,029 is: 269,677.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,521 : 181,029 = 181,029 : x
  2. Step 2: Convert to fraction form
    121,521/181,029 = 181,029/x
  3. Step 3: Cross multiply
    121,521x = 181,029 × 181,029
  4. Step 4: Simplify right side
    121,521x = 32,771,498,841
  5. Step 5: Solve for x
    x = 32,771,498,841/121,521
  6. Step 6: Final answer
    x = 269,677.66

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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.