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Finding the Third Proportional to 655.03 and 1,243.97

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Solution

The third proportional to 655.03 and 1,243.97 is: 2,362.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.03 : 1,243.97 = 1,243.97 : x
  2. Step 2: Convert to fraction form
    655.03/1,243.97 = 1,243.97/x
  3. Step 3: Cross multiply
    655.03x = 1,243.97 × 1,243.97
  4. Step 4: Simplify right side
    655.03x = 1,547,458.25
  5. Step 5: Solve for x
    x = 1,547,458.25/655.03
  6. Step 6: Final answer
    x = 2,362.42

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.