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Finding the Third Proportional to 619.13 and 919.31

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Solution

The third proportional to 619.13 and 919.31 is: 1,365.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.13 : 919.31 = 919.31 : x
  2. Step 2: Convert to fraction form
    619.13/919.31 = 919.31/x
  3. Step 3: Cross multiply
    619.13x = 919.31 × 919.31
  4. Step 4: Simplify right side
    619.13x = 845,135.47
  5. Step 5: Solve for x
    x = 845,135.47/619.13
  6. Step 6: Final answer
    x = 1,365.05

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.