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Finding the Third Proportional to 935.72 and 1,440.42

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Solution

The third proportional to 935.72 and 1,440.42 is: 2,217.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.72 : 1,440.42 = 1,440.42 : x
  2. Step 2: Convert to fraction form
    935.72/1,440.42 = 1,440.42/x
  3. Step 3: Cross multiply
    935.72x = 1,440.42 × 1,440.42
  4. Step 4: Simplify right side
    935.72x = 2,074,815.18
  5. Step 5: Solve for x
    x = 2,074,815.18/935.72
  6. Step 6: Final answer
    x = 2,217.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.