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Finding the Third Proportional to 619.21 and 1,266.89

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Solution

The third proportional to 619.21 and 1,266.89 is: 2,592.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.21 : 1,266.89 = 1,266.89 : x
  2. Step 2: Convert to fraction form
    619.21/1,266.89 = 1,266.89/x
  3. Step 3: Cross multiply
    619.21x = 1,266.89 × 1,266.89
  4. Step 4: Simplify right side
    619.21x = 1,605,011.86
  5. Step 5: Solve for x
    x = 1,605,011.86/619.21
  6. Step 6: Final answer
    x = 2,592.04

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.