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Finding the Third Proportional to 70,542 and 137,549.25

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Solution

The third proportional to 70,542 and 137,549.25 is: 268,206.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,542 : 137,549.25 = 137,549.25 : x
  2. Step 2: Convert to fraction form
    70,542/137,549.25 = 137,549.25/x
  3. Step 3: Cross multiply
    70,542x = 137,549.25 × 137,549.25
  4. Step 4: Simplify right side
    70,542x = 18,919,796,175.56
  5. Step 5: Solve for x
    x = 18,919,796,175.56/70,542
  6. Step 6: Final answer
    x = 268,206.12

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.