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Finding the Third Proportional to 282,580 and 396,034

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Solution

The third proportional to 282,580 and 396,034 is: 555,039.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,580 : 396,034 = 396,034 : x
  2. Step 2: Convert to fraction form
    282,580/396,034 = 396,034/x
  3. Step 3: Cross multiply
    282,580x = 396,034 × 396,034
  4. Step 4: Simplify right side
    282,580x = 156,842,929,156
  5. Step 5: Solve for x
    x = 156,842,929,156/282,580
  6. Step 6: Final answer
    x = 555,039.03

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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.