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Finding the Third Proportional to 129,911 and 206,871

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Solution

The third proportional to 129,911 and 206,871 is: 329,422.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,911 : 206,871 = 206,871 : x
  2. Step 2: Convert to fraction form
    129,911/206,871 = 206,871/x
  3. Step 3: Cross multiply
    129,911x = 206,871 × 206,871
  4. Step 4: Simplify right side
    129,911x = 42,795,610,641
  5. Step 5: Solve for x
    x = 42,795,610,641/129,911
  6. Step 6: Final answer
    x = 329,422.53

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.