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Finding the Third Proportional to 120,424 and 187,072

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Solution

The third proportional to 120,424 and 187,072 is: 290,605.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,424 : 187,072 = 187,072 : x
  2. Step 2: Convert to fraction form
    120,424/187,072 = 187,072/x
  3. Step 3: Cross multiply
    120,424x = 187,072 × 187,072
  4. Step 4: Simplify right side
    120,424x = 34,995,933,184
  5. Step 5: Solve for x
    x = 34,995,933,184/120,424
  6. Step 6: Final answer
    x = 290,605.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.