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Finding the Third Proportional to 90,984.94 and 198,487.13

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Solution

The third proportional to 90,984.94 and 198,487.13 is: 433,007.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,984.94 : 198,487.13 = 198,487.13 : x
  2. Step 2: Convert to fraction form
    90,984.94/198,487.13 = 198,487.13/x
  3. Step 3: Cross multiply
    90,984.94x = 198,487.13 × 198,487.13
  4. Step 4: Simplify right side
    90,984.94x = 39,397,138,790.77
  5. Step 5: Solve for x
    x = 39,397,138,790.77/90,984.94
  6. Step 6: Final answer
    x = 433,007.26

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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.