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Finding the Third Proportional to 198,211.50 and 282,555

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Solution

The third proportional to 198,211.50 and 282,555 is: 402,788.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,211.50 : 282,555 = 282,555 : x
  2. Step 2: Convert to fraction form
    198,211.50/282,555 = 282,555/x
  3. Step 3: Cross multiply
    198,211.50x = 282,555 × 282,555
  4. Step 4: Simplify right side
    198,211.50x = 79,837,328,025
  5. Step 5: Solve for x
    x = 79,837,328,025/198,211.50
  6. Step 6: Final answer
    x = 402,788.58

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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.