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Finding the Third Proportional to 330,408 and 459,720

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Solution

The third proportional to 330,408 and 459,720 is: 639,640.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,408 : 459,720 = 459,720 : x
  2. Step 2: Convert to fraction form
    330,408/459,720 = 459,720/x
  3. Step 3: Cross multiply
    330,408x = 459,720 × 459,720
  4. Step 4: Simplify right side
    330,408x = 211,342,478,400
  5. Step 5: Solve for x
    x = 211,342,478,400/330,408
  6. Step 6: Final answer
    x = 639,640.92

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.