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Finding the Third Proportional to 920.11 and 1,990.83

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Solution

The third proportional to 920.11 and 1,990.83 is: 4,307.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.11 : 1,990.83 = 1,990.83 : x
  2. Step 2: Convert to fraction form
    920.11/1,990.83 = 1,990.83/x
  3. Step 3: Cross multiply
    920.11x = 1,990.83 × 1,990.83
  4. Step 4: Simplify right side
    920.11x = 3,963,396.62
  5. Step 5: Solve for x
    x = 3,963,396.62/920.11
  6. Step 6: Final answer
    x = 4,307.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.