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Finding the Third Proportional to 198,267.75 and 282,639.38

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Solution

The third proportional to 198,267.75 and 282,639.38 is: 402,914.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,267.75 : 282,639.38 = 282,639.38 : x
  2. Step 2: Convert to fraction form
    198,267.75/282,639.38 = 282,639.38/x
  3. Step 3: Cross multiply
    198,267.75x = 282,639.38 × 282,639.38
  4. Step 4: Simplify right side
    198,267.75x = 79,885,016,300.39
  5. Step 5: Solve for x
    x = 79,885,016,300.39/198,267.75
  6. Step 6: Final answer
    x = 402,914.83

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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.