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Finding the Third Proportional to 143,478 and 283,282

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Solution

The third proportional to 143,478 and 283,282 is: 559,310.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,478 : 283,282 = 283,282 : x
  2. Step 2: Convert to fraction form
    143,478/283,282 = 283,282/x
  3. Step 3: Cross multiply
    143,478x = 283,282 × 283,282
  4. Step 4: Simplify right side
    143,478x = 80,248,691,524
  5. Step 5: Solve for x
    x = 80,248,691,524/143,478
  6. Step 6: Final answer
    x = 559,310.08

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.