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Finding the Third Proportional to 935.75 and 2,053.38

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Solution

The third proportional to 935.75 and 2,053.38 is: 4,505.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.75 : 2,053.38 = 2,053.38 : x
  2. Step 2: Convert to fraction form
    935.75/2,053.38 = 2,053.38/x
  3. Step 3: Cross multiply
    935.75x = 2,053.38 × 2,053.38
  4. Step 4: Simplify right side
    935.75x = 4,216,348.89
  5. Step 5: Solve for x
    x = 4,216,348.89/935.75
  6. Step 6: Final answer
    x = 4,505.85

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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.