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Finding the Third Proportional to 84,711 and 176,439

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Solution

The third proportional to 84,711 and 176,439 is: 367,493.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,711 : 176,439 = 176,439 : x
  2. Step 2: Convert to fraction form
    84,711/176,439 = 176,439/x
  3. Step 3: Cross multiply
    84,711x = 176,439 × 176,439
  4. Step 4: Simplify right side
    84,711x = 31,130,720,721
  5. Step 5: Solve for x
    x = 31,130,720,721/84,711
  6. Step 6: Final answer
    x = 367,493.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.