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Finding the Third Proportional to 617.56 and 901.94

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Solution

The third proportional to 617.56 and 901.94 is: 1,317.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.56 : 901.94 = 901.94 : x
  2. Step 2: Convert to fraction form
    617.56/901.94 = 901.94/x
  3. Step 3: Cross multiply
    617.56x = 901.94 × 901.94
  4. Step 4: Simplify right side
    617.56x = 813,491.25
  5. Step 5: Solve for x
    x = 813,491.25/617.56
  6. Step 6: Final answer
    x = 1,317.26

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.