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Finding the Third Proportional to 71,931.80 and 153,306.42

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Solution

The third proportional to 71,931.80 and 153,306.42 is: 326,738.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,931.80 : 153,306.42 = 153,306.42 : x
  2. Step 2: Convert to fraction form
    71,931.80/153,306.42 = 153,306.42/x
  3. Step 3: Cross multiply
    71,931.80x = 153,306.42 × 153,306.42
  4. Step 4: Simplify right side
    71,931.80x = 23,502,858,988.12
  5. Step 5: Solve for x
    x = 23,502,858,988.12/71,931.80
  6. Step 6: Final answer
    x = 326,738.10

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.