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Finding the Third Proportional to 63,424 and 137,728

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Solution

The third proportional to 63,424 and 137,728 is: 299,082.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,424 : 137,728 = 137,728 : x
  2. Step 2: Convert to fraction form
    63,424/137,728 = 137,728/x
  3. Step 3: Cross multiply
    63,424x = 137,728 × 137,728
  4. Step 4: Simplify right side
    63,424x = 18,969,001,984
  5. Step 5: Solve for x
    x = 18,969,001,984/63,424
  6. Step 6: Final answer
    x = 299,082.40

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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.