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Finding the Third Proportional to 131,549 and 211,859

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Solution

The third proportional to 131,549 and 211,859 is: 341,197.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,549 : 211,859 = 211,859 : x
  2. Step 2: Convert to fraction form
    131,549/211,859 = 211,859/x
  3. Step 3: Cross multiply
    131,549x = 211,859 × 211,859
  4. Step 4: Simplify right side
    131,549x = 44,884,235,881
  5. Step 5: Solve for x
    x = 44,884,235,881/131,549
  6. Step 6: Final answer
    x = 341,197.85

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.