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Finding the Third Proportional to 412,000 and 868,288

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Solution

The third proportional to 412,000 and 868,288 is: 1,829,912.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,000 : 868,288 = 868,288 : x
  2. Step 2: Convert to fraction form
    412,000/868,288 = 868,288/x
  3. Step 3: Cross multiply
    412,000x = 868,288 × 868,288
  4. Step 4: Simplify right side
    412,000x = 753,924,050,944
  5. Step 5: Solve for x
    x = 753,924,050,944/412,000
  6. Step 6: Final answer
    x = 1,829,912.75

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.