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Finding the Third Proportional to 619.17 and 940.17

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Solution

The third proportional to 619.17 and 940.17 is: 1,427.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.17 : 940.17 = 940.17 : x
  2. Step 2: Convert to fraction form
    619.17/940.17 = 940.17/x
  3. Step 3: Cross multiply
    619.17x = 940.17 × 940.17
  4. Step 4: Simplify right side
    619.17x = 883,923.15
  5. Step 5: Solve for x
    x = 883,923.15/619.17
  6. Step 6: Final answer
    x = 1,427.59

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.