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Finding the Third Proportional to 176,420 and 382,486

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Solution

The third proportional to 176,420 and 382,486 is: 829,245.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,420 : 382,486 = 382,486 : x
  2. Step 2: Convert to fraction form
    176,420/382,486 = 382,486/x
  3. Step 3: Cross multiply
    176,420x = 382,486 × 382,486
  4. Step 4: Simplify right side
    176,420x = 146,295,540,196
  5. Step 5: Solve for x
    x = 146,295,540,196/176,420
  6. Step 6: Final answer
    x = 829,245.78

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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.