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Finding the Third Proportional to 267,511.78 and 414,693.84

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Solution

The third proportional to 267,511.78 and 414,693.84 is: 642,853.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,511.78 : 414,693.84 = 414,693.84 : x
  2. Step 2: Convert to fraction form
    267,511.78/414,693.84 = 414,693.84/x
  3. Step 3: Cross multiply
    267,511.78x = 414,693.84 × 414,693.84
  4. Step 4: Simplify right side
    267,511.78x = 171,970,984,044.15
  5. Step 5: Solve for x
    x = 171,970,984,044.15/267,511.78
  6. Step 6: Final answer
    x = 642,853.87

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.