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Finding the Third Proportional to 141,337 and 215,878

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Solution

The third proportional to 141,337 and 215,878 is: 329,731.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,337 : 215,878 = 215,878 : x
  2. Step 2: Convert to fraction form
    141,337/215,878 = 215,878/x
  3. Step 3: Cross multiply
    141,337x = 215,878 × 215,878
  4. Step 4: Simplify right side
    141,337x = 46,603,310,884
  5. Step 5: Solve for x
    x = 46,603,310,884/141,337
  6. Step 6: Final answer
    x = 329,731.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.