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Finding the Third Proportional to 664.03 and 1,225.55

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Solution

The third proportional to 664.03 and 1,225.55 is: 2,261.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.03 : 1,225.55 = 1,225.55 : x
  2. Step 2: Convert to fraction form
    664.03/1,225.55 = 1,225.55/x
  3. Step 3: Cross multiply
    664.03x = 1,225.55 × 1,225.55
  4. Step 4: Simplify right side
    664.03x = 1,501,965.14
  5. Step 5: Solve for x
    x = 1,501,965.14/664.03
  6. Step 6: Final answer
    x = 2,261.89

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.