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Finding the Third Proportional to 120,331 and 190,703

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Solution

The third proportional to 120,331 and 190,703 is: 302,229.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,331 : 190,703 = 190,703 : x
  2. Step 2: Convert to fraction form
    120,331/190,703 = 190,703/x
  3. Step 3: Cross multiply
    120,331x = 190,703 × 190,703
  4. Step 4: Simplify right side
    120,331x = 36,367,634,209
  5. Step 5: Solve for x
    x = 36,367,634,209/120,331
  6. Step 6: Final answer
    x = 302,229.97

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.