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Finding the Third Proportional to 332,508 and 502,253.25

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Solution

The third proportional to 332,508 and 502,253.25 is: 758,653.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,508 : 502,253.25 = 502,253.25 : x
  2. Step 2: Convert to fraction form
    332,508/502,253.25 = 502,253.25/x
  3. Step 3: Cross multiply
    332,508x = 502,253.25 × 502,253.25
  4. Step 4: Simplify right side
    332,508x = 252,258,327,135.56
  5. Step 5: Solve for x
    x = 252,258,327,135.56/332,508
  6. Step 6: Final answer
    x = 758,653.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.