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Finding the Third Proportional to 71,135 and 109,781

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Solution

The third proportional to 71,135 and 109,781 is: 169,422.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,135 : 109,781 = 109,781 : x
  2. Step 2: Convert to fraction form
    71,135/109,781 = 109,781/x
  3. Step 3: Cross multiply
    71,135x = 109,781 × 109,781
  4. Step 4: Simplify right side
    71,135x = 12,051,867,961
  5. Step 5: Solve for x
    x = 12,051,867,961/71,135
  6. Step 6: Final answer
    x = 169,422.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.