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Finding the Third Proportional to 930.87 and 1,938.30

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Solution

The third proportional to 930.87 and 1,938.30 is: 4,036.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.87 : 1,938.30 = 1,938.30 : x
  2. Step 2: Convert to fraction form
    930.87/1,938.30 = 1,938.30/x
  3. Step 3: Cross multiply
    930.87x = 1,938.30 × 1,938.30
  4. Step 4: Simplify right side
    930.87x = 3,757,025.06
  5. Step 5: Solve for x
    x = 3,757,025.06/930.87
  6. Step 6: Final answer
    x = 4,036.05

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.