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Finding the Third Proportional to 282,561 and 396,008

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Solution

The third proportional to 282,561 and 396,008 is: 555,003.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,561 : 396,008 = 396,008 : x
  2. Step 2: Convert to fraction form
    282,561/396,008 = 396,008/x
  3. Step 3: Cross multiply
    282,561x = 396,008 × 396,008
  4. Step 4: Simplify right side
    282,561x = 156,822,336,064
  5. Step 5: Solve for x
    x = 156,822,336,064/282,561
  6. Step 6: Final answer
    x = 555,003.47

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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.