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Finding the Third Proportional to 91,884.38 and 198,257.63

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Solution

The third proportional to 91,884.38 and 198,257.63 is: 427,777.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,884.38 : 198,257.63 = 198,257.63 : x
  2. Step 2: Convert to fraction form
    91,884.38/198,257.63 = 198,257.63/x
  3. Step 3: Cross multiply
    91,884.38x = 198,257.63 × 198,257.63
  4. Step 4: Simplify right side
    91,884.38x = 39,306,085,870.64
  5. Step 5: Solve for x
    x = 39,306,085,870.64/91,884.38
  6. Step 6: Final answer
    x = 427,777.69

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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.