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Finding the Third Proportional to 142,038 and 215,649

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Solution

The third proportional to 142,038 and 215,649 is: 327,408.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,038 : 215,649 = 215,649 : x
  2. Step 2: Convert to fraction form
    142,038/215,649 = 215,649/x
  3. Step 3: Cross multiply
    142,038x = 215,649 × 215,649
  4. Step 4: Simplify right side
    142,038x = 46,504,491,201
  5. Step 5: Solve for x
    x = 46,504,491,201/142,038
  6. Step 6: Final answer
    x = 327,408.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.