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Finding the Third Proportional to 129,084 and 185,917

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Solution

The third proportional to 129,084 and 185,917 is: 267,772.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,084 : 185,917 = 185,917 : x
  2. Step 2: Convert to fraction form
    129,084/185,917 = 185,917/x
  3. Step 3: Cross multiply
    129,084x = 185,917 × 185,917
  4. Step 4: Simplify right side
    129,084x = 34,565,130,889
  5. Step 5: Solve for x
    x = 34,565,130,889/129,084
  6. Step 6: Final answer
    x = 267,772.39

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.