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Finding the Third Proportional to 141,005 and 215,967

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Solution

The third proportional to 141,005 and 215,967 is: 330,780.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,005 : 215,967 = 215,967 : x
  2. Step 2: Convert to fraction form
    141,005/215,967 = 215,967/x
  3. Step 3: Cross multiply
    141,005x = 215,967 × 215,967
  4. Step 4: Simplify right side
    141,005x = 46,641,745,089
  5. Step 5: Solve for x
    x = 46,641,745,089/141,005
  6. Step 6: Final answer
    x = 330,780.79

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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.