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Finding the Third Proportional to 920.81 and 1,890.56

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Solution

The third proportional to 920.81 and 1,890.56 is: 3,881.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    920.81 : 1,890.56 = 1,890.56 : x
  2. Step 2: Convert to fraction form
    920.81/1,890.56 = 1,890.56/x
  3. Step 3: Cross multiply
    920.81x = 1,890.56 × 1,890.56
  4. Step 4: Simplify right side
    920.81x = 3,574,226.57
  5. Step 5: Solve for x
    x = 3,574,226.57/920.81
  6. Step 6: Final answer
    x = 3,881.60

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.