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Finding the Third Proportional to 160,876 and 211,554

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Solution

The third proportional to 160,876 and 211,554 is: 278,196.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,876 : 211,554 = 211,554 : x
  2. Step 2: Convert to fraction form
    160,876/211,554 = 211,554/x
  3. Step 3: Cross multiply
    160,876x = 211,554 × 211,554
  4. Step 4: Simplify right side
    160,876x = 44,755,094,916
  5. Step 5: Solve for x
    x = 44,755,094,916/160,876
  6. Step 6: Final answer
    x = 278,196.22

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.