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Finding the Third Proportional to 402.13 and 901.75

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Solution

The third proportional to 402.13 and 901.75 is: 2,022.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.13 : 901.75 = 901.75 : x
  2. Step 2: Convert to fraction form
    402.13/901.75 = 901.75/x
  3. Step 3: Cross multiply
    402.13x = 901.75 × 901.75
  4. Step 4: Simplify right side
    402.13x = 813,153.06
  5. Step 5: Solve for x
    x = 813,153.06/402.13
  6. Step 6: Final answer
    x = 2,022.14

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.