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Finding the Third Proportional to 427.25 and 921.13

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Solution

The third proportional to 427.25 and 921.13 is: 1,985.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.25 : 921.13 = 921.13 : x
  2. Step 2: Convert to fraction form
    427.25/921.13 = 921.13/x
  3. Step 3: Cross multiply
    427.25x = 921.13 × 921.13
  4. Step 4: Simplify right side
    427.25x = 848,471.27
  5. Step 5: Solve for x
    x = 848,471.27/427.25
  6. Step 6: Final answer
    x = 1,985.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.