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Finding the Third Proportional to 392,864 and 609,408

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Solution

The third proportional to 392,864 and 609,408 is: 945,309.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,864 : 609,408 = 609,408 : x
  2. Step 2: Convert to fraction form
    392,864/609,408 = 609,408/x
  3. Step 3: Cross multiply
    392,864x = 609,408 × 609,408
  4. Step 4: Simplify right side
    392,864x = 371,378,110,464
  5. Step 5: Solve for x
    x = 371,378,110,464/392,864
  6. Step 6: Final answer
    x = 945,309.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.