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Finding the Third Proportional to 619.13 and 1,459.31

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Solution

The third proportional to 619.13 and 1,459.31 is: 3,439.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.13 : 1,459.31 = 1,459.31 : x
  2. Step 2: Convert to fraction form
    619.13/1,459.31 = 1,459.31/x
  3. Step 3: Cross multiply
    619.13x = 1,459.31 × 1,459.31
  4. Step 4: Simplify right side
    619.13x = 2,129,592.97
  5. Step 5: Solve for x
    x = 2,129,592.97/619.13
  6. Step 6: Final answer
    x = 3,439.68

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.