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Finding the Third Proportional to 399,408 and 869,348

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Solution

The third proportional to 399,408 and 869,348 is: 1,892,215.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,408 : 869,348 = 869,348 : x
  2. Step 2: Convert to fraction form
    399,408/869,348 = 869,348/x
  3. Step 3: Cross multiply
    399,408x = 869,348 × 869,348
  4. Step 4: Simplify right side
    399,408x = 755,765,945,104
  5. Step 5: Solve for x
    x = 755,765,945,104/399,408
  6. Step 6: Final answer
    x = 1,892,215.34

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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.