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Finding the Third Proportional to 409,502 and 878,296

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Solution

The third proportional to 409,502 and 878,296 is: 1,883,760.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,502 : 878,296 = 878,296 : x
  2. Step 2: Convert to fraction form
    409,502/878,296 = 878,296/x
  3. Step 3: Cross multiply
    409,502x = 878,296 × 878,296
  4. Step 4: Simplify right side
    409,502x = 771,403,863,616
  5. Step 5: Solve for x
    x = 771,403,863,616/409,502
  6. Step 6: Final answer
    x = 1,883,760.92

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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.