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Finding the Third Proportional to 90,817.88 and 197,983.69

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Solution

The third proportional to 90,817.88 and 197,983.69 is: 431,606.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,817.88 : 197,983.69 = 197,983.69 : x
  2. Step 2: Convert to fraction form
    90,817.88/197,983.69 = 197,983.69/x
  3. Step 3: Cross multiply
    90,817.88x = 197,983.69 × 197,983.69
  4. Step 4: Simplify right side
    90,817.88x = 39,197,540,516.10
  5. Step 5: Solve for x
    x = 39,197,540,516.10/90,817.88
  6. Step 6: Final answer
    x = 431,606.01

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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.