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Finding the Third Proportional to 409,500 and 878,292

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Solution

The third proportional to 409,500 and 878,292 is: 1,883,752.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,500 : 878,292 = 878,292 : x
  2. Step 2: Convert to fraction form
    409,500/878,292 = 878,292/x
  3. Step 3: Cross multiply
    409,500x = 878,292 × 878,292
  4. Step 4: Simplify right side
    409,500x = 771,396,837,264
  5. Step 5: Solve for x
    x = 771,396,837,264/409,500
  6. Step 6: Final answer
    x = 1,883,752.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.