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Finding the Third Proportional to 921.75 and 2,005.50

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Solution

The third proportional to 921.75 and 2,005.50 is: 4,363.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.75 : 2,005.50 = 2,005.50 : x
  2. Step 2: Convert to fraction form
    921.75/2,005.50 = 2,005.50/x
  3. Step 3: Cross multiply
    921.75x = 2,005.50 × 2,005.50
  4. Step 4: Simplify right side
    921.75x = 4,022,030.25
  5. Step 5: Solve for x
    x = 4,022,030.25/921.75
  6. Step 6: Final answer
    x = 4,363.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.