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Finding the Third Proportional to 63,846 and 138,747

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Solution

The third proportional to 63,846 and 138,747 is: 301,518.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,846 : 138,747 = 138,747 : x
  2. Step 2: Convert to fraction form
    63,846/138,747 = 138,747/x
  3. Step 3: Cross multiply
    63,846x = 138,747 × 138,747
  4. Step 4: Simplify right side
    63,846x = 19,250,730,009
  5. Step 5: Solve for x
    x = 19,250,730,009/63,846
  6. Step 6: Final answer
    x = 301,518.18

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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.