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Finding the Third Proportional to 463.75 and 943.25

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Solution

The third proportional to 463.75 and 943.25 is: 1,918.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.75 : 943.25 = 943.25 : x
  2. Step 2: Convert to fraction form
    463.75/943.25 = 943.25/x
  3. Step 3: Cross multiply
    463.75x = 943.25 × 943.25
  4. Step 4: Simplify right side
    463.75x = 889,720.56
  5. Step 5: Solve for x
    x = 889,720.56/463.75
  6. Step 6: Final answer
    x = 1,918.53

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.