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Finding the Third Proportional to 279,250 and 442,385

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Solution

The third proportional to 279,250 and 442,385 is: 700,821.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,250 : 442,385 = 442,385 : x
  2. Step 2: Convert to fraction form
    279,250/442,385 = 442,385/x
  3. Step 3: Cross multiply
    279,250x = 442,385 × 442,385
  4. Step 4: Simplify right side
    279,250x = 195,704,488,225
  5. Step 5: Solve for x
    x = 195,704,488,225/279,250
  6. Step 6: Final answer
    x = 700,821.80

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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.