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Finding the Third Proportional to 15,876 and 34,209

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Solution

The third proportional to 15,876 and 34,209 is: 73,712.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,876 : 34,209 = 34,209 : x
  2. Step 2: Convert to fraction form
    15,876/34,209 = 34,209/x
  3. Step 3: Cross multiply
    15,876x = 34,209 × 34,209
  4. Step 4: Simplify right side
    15,876x = 1,170,255,681
  5. Step 5: Solve for x
    x = 1,170,255,681/15,876
  6. Step 6: Final answer
    x = 73,712.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.