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Finding the Third Proportional to 82,428 and 176,517

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Solution

The third proportional to 82,428 and 176,517 is: 378,005.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,428 : 176,517 = 176,517 : x
  2. Step 2: Convert to fraction form
    82,428/176,517 = 176,517/x
  3. Step 3: Cross multiply
    82,428x = 176,517 × 176,517
  4. Step 4: Simplify right side
    82,428x = 31,158,251,289
  5. Step 5: Solve for x
    x = 31,158,251,289/82,428
  6. Step 6: Final answer
    x = 378,005.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.