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Finding the Third Proportional to 665.91 and 1,555.36

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Solution

The third proportional to 665.91 and 1,555.36 is: 3,632.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.91 : 1,555.36 = 1,555.36 : x
  2. Step 2: Convert to fraction form
    665.91/1,555.36 = 1,555.36/x
  3. Step 3: Cross multiply
    665.91x = 1,555.36 × 1,555.36
  4. Step 4: Simplify right side
    665.91x = 2,419,142.79
  5. Step 5: Solve for x
    x = 2,419,142.79/665.91
  6. Step 6: Final answer
    x = 3,632.86

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.