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Finding the Third Proportional to 279,434 and 442,665

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Solution

The third proportional to 279,434 and 442,665 is: 701,247.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,434 : 442,665 = 442,665 : x
  2. Step 2: Convert to fraction form
    279,434/442,665 = 442,665/x
  3. Step 3: Cross multiply
    279,434x = 442,665 × 442,665
  4. Step 4: Simplify right side
    279,434x = 195,952,302,225
  5. Step 5: Solve for x
    x = 195,952,302,225/279,434
  6. Step 6: Final answer
    x = 701,247.17

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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.