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Finding the Third Proportional to 198,662 and 435,115

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Solution

The third proportional to 198,662 and 435,115 is: 953,000.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,662 : 435,115 = 435,115 : x
  2. Step 2: Convert to fraction form
    198,662/435,115 = 435,115/x
  3. Step 3: Cross multiply
    198,662x = 435,115 × 435,115
  4. Step 4: Simplify right side
    198,662x = 189,325,063,225
  5. Step 5: Solve for x
    x = 189,325,063,225/198,662
  6. Step 6: Final answer
    x = 953,000.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.