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Finding the Third Proportional to 279,256 and 442,394

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Solution

The third proportional to 279,256 and 442,394 is: 700,835.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,256 : 442,394 = 442,394 : x
  2. Step 2: Convert to fraction form
    279,256/442,394 = 442,394/x
  3. Step 3: Cross multiply
    279,256x = 442,394 × 442,394
  4. Step 4: Simplify right side
    279,256x = 195,712,451,236
  5. Step 5: Solve for x
    x = 195,712,451,236/279,256
  6. Step 6: Final answer
    x = 700,835.26

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.