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Finding the Third Proportional to 82,128 and 176,532

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Solution

The third proportional to 82,128 and 176,532 is: 379,450.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,128 : 176,532 = 176,532 : x
  2. Step 2: Convert to fraction form
    82,128/176,532 = 176,532/x
  3. Step 3: Cross multiply
    82,128x = 176,532 × 176,532
  4. Step 4: Simplify right side
    82,128x = 31,163,547,024
  5. Step 5: Solve for x
    x = 31,163,547,024/82,128
  6. Step 6: Final answer
    x = 379,450.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.