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Finding the Third Proportional to 932.50 and 1,905.50

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Solution

The third proportional to 932.50 and 1,905.50 is: 3,893.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    932.50 : 1,905.50 = 1,905.50 : x
  2. Step 2: Convert to fraction form
    932.50/1,905.50 = 1,905.50/x
  3. Step 3: Cross multiply
    932.50x = 1,905.50 × 1,905.50
  4. Step 4: Simplify right side
    932.50x = 3,630,930.25
  5. Step 5: Solve for x
    x = 3,630,930.25/932.50
  6. Step 6: Final answer
    x = 3,893.76

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.