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Finding the Third Proportional to 267,787.50 and 414,908.25

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Solution

The third proportional to 267,787.50 and 414,908.25 is: 642,856.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,787.50 : 414,908.25 = 414,908.25 : x
  2. Step 2: Convert to fraction form
    267,787.50/414,908.25 = 414,908.25/x
  3. Step 3: Cross multiply
    267,787.50x = 414,908.25 × 414,908.25
  4. Step 4: Simplify right side
    267,787.50x = 172,148,855,918.06
  5. Step 5: Solve for x
    x = 172,148,855,918.06/267,787.50
  6. Step 6: Final answer
    x = 642,856.20

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Why These Related Problems?

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