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Finding the Third Proportional to 360,408 and 519,156

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Solution

The third proportional to 360,408 and 519,156 is: 747,827.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,408 : 519,156 = 519,156 : x
  2. Step 2: Convert to fraction form
    360,408/519,156 = 519,156/x
  3. Step 3: Cross multiply
    360,408x = 519,156 × 519,156
  4. Step 4: Simplify right side
    360,408x = 269,522,952,336
  5. Step 5: Solve for x
    x = 269,522,952,336/360,408
  6. Step 6: Final answer
    x = 747,827.33

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.