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Finding the Third Proportional to 82,718 and 179,438

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Solution

The third proportional to 82,718 and 179,438 is: 389,250.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,718 : 179,438 = 179,438 : x
  2. Step 2: Convert to fraction form
    82,718/179,438 = 179,438/x
  3. Step 3: Cross multiply
    82,718x = 179,438 × 179,438
  4. Step 4: Simplify right side
    82,718x = 32,197,995,844
  5. Step 5: Solve for x
    x = 32,197,995,844/82,718
  6. Step 6: Final answer
    x = 389,250.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.