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Finding the Third Proportional to 287,016 and 626,493

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Solution

The third proportional to 287,016 and 626,493 is: 1,367,496.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,016 : 626,493 = 626,493 : x
  2. Step 2: Convert to fraction form
    287,016/626,493 = 626,493/x
  3. Step 3: Cross multiply
    287,016x = 626,493 × 626,493
  4. Step 4: Simplify right side
    287,016x = 392,493,479,049
  5. Step 5: Solve for x
    x = 392,493,479,049/287,016
  6. Step 6: Final answer
    x = 1,367,496.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.