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Finding the Third Proportional to 175,815 and 387,486

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Solution

The third proportional to 175,815 and 387,486 is: 853,996.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,815 : 387,486 = 387,486 : x
  2. Step 2: Convert to fraction form
    175,815/387,486 = 387,486/x
  3. Step 3: Cross multiply
    175,815x = 387,486 × 387,486
  4. Step 4: Simplify right side
    175,815x = 150,145,400,196
  5. Step 5: Solve for x
    x = 150,145,400,196/175,815
  6. Step 6: Final answer
    x = 853,996.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.