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Finding the Third Proportional to 121,690.13 and 181,522.13

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Solution

The third proportional to 121,690.13 and 181,522.13 is: 270,772.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,690.13 : 181,522.13 = 181,522.13 : x
  2. Step 2: Convert to fraction form
    121,690.13/181,522.13 = 181,522.13/x
  3. Step 3: Cross multiply
    121,690.13x = 181,522.13 × 181,522.13
  4. Step 4: Simplify right side
    121,690.13x = 32,950,281,864.52
  5. Step 5: Solve for x
    x = 32,950,281,864.52/121,690.13
  6. Step 6: Final answer
    x = 270,772.03

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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.