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Finding the Third Proportional to 267,439.50 and 557,289

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Solution

The third proportional to 267,439.50 and 557,289 is: 1,161,275.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,439.50 : 557,289 = 557,289 : x
  2. Step 2: Convert to fraction form
    267,439.50/557,289 = 557,289/x
  3. Step 3: Cross multiply
    267,439.50x = 557,289 × 557,289
  4. Step 4: Simplify right side
    267,439.50x = 310,571,029,521
  5. Step 5: Solve for x
    x = 310,571,029,521/267,439.50
  6. Step 6: Final answer
    x = 1,161,275.84

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.