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Finding the Third Proportional to 198,432 and 282,888

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Solution

The third proportional to 198,432 and 282,888 is: 403,289.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,432 : 282,888 = 282,888 : x
  2. Step 2: Convert to fraction form
    198,432/282,888 = 282,888/x
  3. Step 3: Cross multiply
    198,432x = 282,888 × 282,888
  4. Step 4: Simplify right side
    198,432x = 80,025,620,544
  5. Step 5: Solve for x
    x = 80,025,620,544/198,432
  6. Step 6: Final answer
    x = 403,289.90

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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.