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Finding the Third Proportional to 942.19 and 1,909.69

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Solution

The third proportional to 942.19 and 1,909.69 is: 3,870.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.19 : 1,909.69 = 1,909.69 : x
  2. Step 2: Convert to fraction form
    942.19/1,909.69 = 1,909.69/x
  3. Step 3: Cross multiply
    942.19x = 1,909.69 × 1,909.69
  4. Step 4: Simplify right side
    942.19x = 3,646,906.35
  5. Step 5: Solve for x
    x = 3,646,906.35/942.19
  6. Step 6: Final answer
    x = 3,870.68

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.