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Finding the Third Proportional to 63,577 and 138,079

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Solution

The third proportional to 63,577 and 138,079 is: 299,885.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,577 : 138,079 = 138,079 : x
  2. Step 2: Convert to fraction form
    63,577/138,079 = 138,079/x
  3. Step 3: Cross multiply
    63,577x = 138,079 × 138,079
  4. Step 4: Simplify right side
    63,577x = 19,065,810,241
  5. Step 5: Solve for x
    x = 19,065,810,241/63,577
  6. Step 6: Final answer
    x = 299,885.34

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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.