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Finding the Third Proportional to 63,520 and 137,981

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Solution

The third proportional to 63,520 and 137,981 is: 299,728.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,520 : 137,981 = 137,981 : x
  2. Step 2: Convert to fraction form
    63,520/137,981 = 137,981/x
  3. Step 3: Cross multiply
    63,520x = 137,981 × 137,981
  4. Step 4: Simplify right side
    63,520x = 19,038,756,361
  5. Step 5: Solve for x
    x = 19,038,756,361/63,520
  6. Step 6: Final answer
    x = 299,728.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.