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Finding the Third Proportional to 63,871 and 131,842

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Solution

The third proportional to 63,871 and 131,842 is: 272,147.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,871 : 131,842 = 131,842 : x
  2. Step 2: Convert to fraction form
    63,871/131,842 = 131,842/x
  3. Step 3: Cross multiply
    63,871x = 131,842 × 131,842
  4. Step 4: Simplify right side
    63,871x = 17,382,312,964
  5. Step 5: Solve for x
    x = 17,382,312,964/63,871
  6. Step 6: Final answer
    x = 272,147.19

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.