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Finding the Third Proportional to 611.53 and 1,653.78

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Solution

The third proportional to 611.53 and 1,653.78 is: 4,472.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.53 : 1,653.78 = 1,653.78 : x
  2. Step 2: Convert to fraction form
    611.53/1,653.78 = 1,653.78/x
  3. Step 3: Cross multiply
    611.53x = 1,653.78 × 1,653.78
  4. Step 4: Simplify right side
    611.53x = 2,734,976.27
  5. Step 5: Solve for x
    x = 2,734,976.27/611.53
  6. Step 6: Final answer
    x = 4,472.32

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.