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Finding the Third Proportional to 84,128 and 179,486

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Solution

The third proportional to 84,128 and 179,486 is: 382,931.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,128 : 179,486 = 179,486 : x
  2. Step 2: Convert to fraction form
    84,128/179,486 = 179,486/x
  3. Step 3: Cross multiply
    84,128x = 179,486 × 179,486
  4. Step 4: Simplify right side
    84,128x = 32,215,224,196
  5. Step 5: Solve for x
    x = 32,215,224,196/84,128
  6. Step 6: Final answer
    x = 382,931.06

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.