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Finding the Third Proportional to 90,406.13 and 198,546.19

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Solution

The third proportional to 90,406.13 and 198,546.19 is: 436,038.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,406.13 : 198,546.19 = 198,546.19 : x
  2. Step 2: Convert to fraction form
    90,406.13/198,546.19 = 198,546.19/x
  3. Step 3: Cross multiply
    90,406.13x = 198,546.19 × 198,546.19
  4. Step 4: Simplify right side
    90,406.13x = 39,420,588,570.79
  5. Step 5: Solve for x
    x = 39,420,588,570.79/90,406.13
  6. Step 6: Final answer
    x = 436,038.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.