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Finding the Third Proportional to 63,860 and 138,774

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Solution

The third proportional to 63,860 and 138,774 is: 301,569.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,860 : 138,774 = 138,774 : x
  2. Step 2: Convert to fraction form
    63,860/138,774 = 138,774/x
  3. Step 3: Cross multiply
    63,860x = 138,774 × 138,774
  4. Step 4: Simplify right side
    63,860x = 19,258,223,076
  5. Step 5: Solve for x
    x = 19,258,223,076/63,860
  6. Step 6: Final answer
    x = 301,569.42

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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.