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Finding the Third Proportional to 81,306.28 and 154,320.19

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Solution

The third proportional to 81,306.28 and 154,320.19 is: 292,901.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,306.28 : 154,320.19 = 154,320.19 : x
  2. Step 2: Convert to fraction form
    81,306.28/154,320.19 = 154,320.19/x
  3. Step 3: Cross multiply
    81,306.28x = 154,320.19 × 154,320.19
  4. Step 4: Simplify right side
    81,306.28x = 23,814,720,270.04
  5. Step 5: Solve for x
    x = 23,814,720,270.04/81,306.28
  6. Step 6: Final answer
    x = 292,901.36

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.