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Finding the Third Proportional to 427.57 and 935.51

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Solution

The third proportional to 427.57 and 935.51 is: 2,046.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.57 : 935.51 = 935.51 : x
  2. Step 2: Convert to fraction form
    427.57/935.51 = 935.51/x
  3. Step 3: Cross multiply
    427.57x = 935.51 × 935.51
  4. Step 4: Simplify right side
    427.57x = 875,174.87
  5. Step 5: Solve for x
    x = 875,174.87/427.57
  6. Step 6: Final answer
    x = 2,046.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.