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Finding the Third Proportional to 282,872 and 389,262

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Solution

The third proportional to 282,872 and 389,262 is: 535,665.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,872 : 389,262 = 389,262 : x
  2. Step 2: Convert to fraction form
    282,872/389,262 = 389,262/x
  3. Step 3: Cross multiply
    282,872x = 389,262 × 389,262
  4. Step 4: Simplify right side
    282,872x = 151,524,904,644
  5. Step 5: Solve for x
    x = 151,524,904,644/282,872
  6. Step 6: Final answer
    x = 535,665.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.