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Finding the Third Proportional to 89,116.88 and 198,157.50

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Solution

The third proportional to 89,116.88 and 198,157.50 is: 440,616.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,116.88 : 198,157.50 = 198,157.50 : x
  2. Step 2: Convert to fraction form
    89,116.88/198,157.50 = 198,157.50/x
  3. Step 3: Cross multiply
    89,116.88x = 198,157.50 × 198,157.50
  4. Step 4: Simplify right side
    89,116.88x = 39,266,394,806.25
  5. Step 5: Solve for x
    x = 39,266,394,806.25/89,116.88
  6. Step 6: Final answer
    x = 440,616.83

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.