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Finding the Third Proportional to 84,542 and 178,514

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Solution

The third proportional to 84,542 and 178,514 is: 376,939.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,542 : 178,514 = 178,514 : x
  2. Step 2: Convert to fraction form
    84,542/178,514 = 178,514/x
  3. Step 3: Cross multiply
    84,542x = 178,514 × 178,514
  4. Step 4: Simplify right side
    84,542x = 31,867,248,196
  5. Step 5: Solve for x
    x = 31,867,248,196/84,542
  6. Step 6: Final answer
    x = 376,939.84

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.