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Finding the Third Proportional to 655.03 and 1,400.34

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Solution

The third proportional to 655.03 and 1,400.34 is: 2,993.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.03 : 1,400.34 = 1,400.34 : x
  2. Step 2: Convert to fraction form
    655.03/1,400.34 = 1,400.34/x
  3. Step 3: Cross multiply
    655.03x = 1,400.34 × 1,400.34
  4. Step 4: Simplify right side
    655.03x = 1,960,962.62
  5. Step 5: Solve for x
    x = 1,960,962.62/655.03
  6. Step 6: Final answer
    x = 2,993.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.