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Finding the Third Proportional to 282,618 and 396,099

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Solution

The third proportional to 282,618 and 396,099 is: 555,146.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,618 : 396,099 = 396,099 : x
  2. Step 2: Convert to fraction form
    282,618/396,099 = 396,099/x
  3. Step 3: Cross multiply
    282,618x = 396,099 × 396,099
  4. Step 4: Simplify right side
    282,618x = 156,894,417,801
  5. Step 5: Solve for x
    x = 156,894,417,801/282,618
  6. Step 6: Final answer
    x = 555,146.59

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.