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Finding the Third Proportional to 142,441.50 and 332,775

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Solution

The third proportional to 142,441.50 and 332,775 is: 777,436.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,441.50 : 332,775 = 332,775 : x
  2. Step 2: Convert to fraction form
    142,441.50/332,775 = 332,775/x
  3. Step 3: Cross multiply
    142,441.50x = 332,775 × 332,775
  4. Step 4: Simplify right side
    142,441.50x = 110,739,200,625
  5. Step 5: Solve for x
    x = 110,739,200,625/142,441.50
  6. Step 6: Final answer
    x = 777,436.36

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.