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Finding the Third Proportional to 129,702 and 238,091

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Solution

The third proportional to 129,702 and 238,091 is: 437,058.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,702 : 238,091 = 238,091 : x
  2. Step 2: Convert to fraction form
    129,702/238,091 = 238,091/x
  3. Step 3: Cross multiply
    129,702x = 238,091 × 238,091
  4. Step 4: Simplify right side
    129,702x = 56,687,324,281
  5. Step 5: Solve for x
    x = 56,687,324,281/129,702
  6. Step 6: Final answer
    x = 437,058.21

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.