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Finding the Third Proportional to 141,818 and 215,674

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Solution

The third proportional to 141,818 and 215,674 is: 327,992.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,818 : 215,674 = 215,674 : x
  2. Step 2: Convert to fraction form
    141,818/215,674 = 215,674/x
  3. Step 3: Cross multiply
    141,818x = 215,674 × 215,674
  4. Step 4: Simplify right side
    141,818x = 46,515,274,276
  5. Step 5: Solve for x
    x = 46,515,274,276/141,818
  6. Step 6: Final answer
    x = 327,992.74

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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.