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Finding the Third Proportional to 128,754 and 198,962

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Solution

The third proportional to 128,754 and 198,962 is: 307,453.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,754 : 198,962 = 198,962 : x
  2. Step 2: Convert to fraction form
    128,754/198,962 = 198,962/x
  3. Step 3: Cross multiply
    128,754x = 198,962 × 198,962
  4. Step 4: Simplify right side
    128,754x = 39,585,877,444
  5. Step 5: Solve for x
    x = 39,585,877,444/128,754
  6. Step 6: Final answer
    x = 307,453.57

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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.