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Finding the Third Proportional to 92,372.06 and 198,986.63

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Solution

The third proportional to 92,372.06 and 198,986.63 is: 428,654.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,372.06 : 198,986.63 = 198,986.63 : x
  2. Step 2: Convert to fraction form
    92,372.06/198,986.63 = 198,986.63/x
  3. Step 3: Cross multiply
    92,372.06x = 198,986.63 × 198,986.63
  4. Step 4: Simplify right side
    92,372.06x = 39,595,676,928.89
  5. Step 5: Solve for x
    x = 39,595,676,928.89/92,372.06
  6. Step 6: Final answer
    x = 428,654.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.