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Finding the Third Proportional to 935.56 and 1,469.19

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Solution

The third proportional to 935.56 and 1,469.19 is: 2,307.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.56 : 1,469.19 = 1,469.19 : x
  2. Step 2: Convert to fraction form
    935.56/1,469.19 = 1,469.19/x
  3. Step 3: Cross multiply
    935.56x = 1,469.19 × 1,469.19
  4. Step 4: Simplify right side
    935.56x = 2,158,511.91
  5. Step 5: Solve for x
    x = 2,158,511.91/935.56
  6. Step 6: Final answer
    x = 2,307.18

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.