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Finding the Third Proportional to 38,907 and 63,921

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Solution

The third proportional to 38,907 and 63,921 is: 105,016.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,907 : 63,921 = 63,921 : x
  2. Step 2: Convert to fraction form
    38,907/63,921 = 63,921/x
  3. Step 3: Cross multiply
    38,907x = 63,921 × 63,921
  4. Step 4: Simplify right side
    38,907x = 4,085,894,241
  5. Step 5: Solve for x
    x = 4,085,894,241/38,907
  6. Step 6: Final answer
    x = 105,016.94

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.