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Finding the Third Proportional to 934.75 and 1,930.25

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Solution

The third proportional to 934.75 and 1,930.25 is: 3,985.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.75 : 1,930.25 = 1,930.25 : x
  2. Step 2: Convert to fraction form
    934.75/1,930.25 = 1,930.25/x
  3. Step 3: Cross multiply
    934.75x = 1,930.25 × 1,930.25
  4. Step 4: Simplify right side
    934.75x = 3,725,865.06
  5. Step 5: Solve for x
    x = 3,725,865.06/934.75
  6. Step 6: Final answer
    x = 3,985.95

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.