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Finding the Third Proportional to 188,618 and 272,775

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Solution

The third proportional to 188,618 and 272,775 is: 394,480.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,618 : 272,775 = 272,775 : x
  2. Step 2: Convert to fraction form
    188,618/272,775 = 272,775/x
  3. Step 3: Cross multiply
    188,618x = 272,775 × 272,775
  4. Step 4: Simplify right side
    188,618x = 74,406,200,625
  5. Step 5: Solve for x
    x = 74,406,200,625/188,618
  6. Step 6: Final answer
    x = 394,480.91

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.