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Finding the Third Proportional to 917.42 and 1,998.11

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Solution

The third proportional to 917.42 and 1,998.11 is: 4,351.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.42 : 1,998.11 = 1,998.11 : x
  2. Step 2: Convert to fraction form
    917.42/1,998.11 = 1,998.11/x
  3. Step 3: Cross multiply
    917.42x = 1,998.11 × 1,998.11
  4. Step 4: Simplify right side
    917.42x = 3,992,425.46
  5. Step 5: Solve for x
    x = 3,992,425.46/917.42
  6. Step 6: Final answer
    x = 4,351.80

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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.