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Finding the Third Proportional to 286,498 and 442,200

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Solution

The third proportional to 286,498 and 442,200 is: 682,520.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,498 : 442,200 = 442,200 : x
  2. Step 2: Convert to fraction form
    286,498/442,200 = 442,200/x
  3. Step 3: Cross multiply
    286,498x = 442,200 × 442,200
  4. Step 4: Simplify right side
    286,498x = 195,540,840,000
  5. Step 5: Solve for x
    x = 195,540,840,000/286,498
  6. Step 6: Final answer
    x = 682,520.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.