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Finding the Third Proportional to 91,890 and 198,846

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Solution

The third proportional to 91,890 and 198,846 is: 430,294.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,890 : 198,846 = 198,846 : x
  2. Step 2: Convert to fraction form
    91,890/198,846 = 198,846/x
  3. Step 3: Cross multiply
    91,890x = 198,846 × 198,846
  4. Step 4: Simplify right side
    91,890x = 39,539,731,716
  5. Step 5: Solve for x
    x = 39,539,731,716/91,890
  6. Step 6: Final answer
    x = 430,294.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.