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Finding the Third Proportional to 90,432.56 and 196,755.19

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Solution

The third proportional to 90,432.56 and 196,755.19 is: 428,082.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,432.56 : 196,755.19 = 196,755.19 : x
  2. Step 2: Convert to fraction form
    90,432.56/196,755.19 = 196,755.19/x
  3. Step 3: Cross multiply
    90,432.56x = 196,755.19 × 196,755.19
  4. Step 4: Simplify right side
    90,432.56x = 38,712,603,808.16
  5. Step 5: Solve for x
    x = 38,712,603,808.16/90,432.56
  6. Step 6: Final answer
    x = 428,082.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.