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Finding the Third Proportional to 285,550.95 and 428,382.42

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Solution

The third proportional to 285,550.95 and 428,382.42 is: 642,657.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,550.95 : 428,382.42 = 428,382.42 : x
  2. Step 2: Convert to fraction form
    285,550.95/428,382.42 = 428,382.42/x
  3. Step 3: Cross multiply
    285,550.95x = 428,382.42 × 428,382.42
  4. Step 4: Simplify right side
    285,550.95x = 183,511,499,371.49
  5. Step 5: Solve for x
    x = 183,511,499,371.49/285,550.95
  6. Step 6: Final answer
    x = 642,657.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.