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Finding the Third Proportional to 151,909 and 332,408

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Solution

The third proportional to 151,909 and 332,408 is: 727,376.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,909 : 332,408 = 332,408 : x
  2. Step 2: Convert to fraction form
    151,909/332,408 = 332,408/x
  3. Step 3: Cross multiply
    151,909x = 332,408 × 332,408
  4. Step 4: Simplify right side
    151,909x = 110,495,078,464
  5. Step 5: Solve for x
    x = 110,495,078,464/151,909
  6. Step 6: Final answer
    x = 727,376.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.