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Finding the Third Proportional to 399,426 and 869,376

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Solution

The third proportional to 399,426 and 869,376 is: 1,892,251.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,426 : 869,376 = 869,376 : x
  2. Step 2: Convert to fraction form
    399,426/869,376 = 869,376/x
  3. Step 3: Cross multiply
    399,426x = 869,376 × 869,376
  4. Step 4: Simplify right side
    399,426x = 755,814,629,376
  5. Step 5: Solve for x
    x = 755,814,629,376/399,426
  6. Step 6: Final answer
    x = 1,892,251.95

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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.