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Finding the Third Proportional to 120,118 and 278,042

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Solution

The third proportional to 120,118 and 278,042 is: 643,595.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,118 : 278,042 = 278,042 : x
  2. Step 2: Convert to fraction form
    120,118/278,042 = 278,042/x
  3. Step 3: Cross multiply
    120,118x = 278,042 × 278,042
  4. Step 4: Simplify right side
    120,118x = 77,307,353,764
  5. Step 5: Solve for x
    x = 77,307,353,764/120,118
  6. Step 6: Final answer
    x = 643,595.08

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.