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Finding the Third Proportional to 136,489.50 and 194,940

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Solution

The third proportional to 136,489.50 and 194,940 is: 278,421.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,489.50 : 194,940 = 194,940 : x
  2. Step 2: Convert to fraction form
    136,489.50/194,940 = 194,940/x
  3. Step 3: Cross multiply
    136,489.50x = 194,940 × 194,940
  4. Step 4: Simplify right side
    136,489.50x = 38,001,603,600
  5. Step 5: Solve for x
    x = 38,001,603,600/136,489.50
  6. Step 6: Final answer
    x = 278,421.44

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.