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Finding the Third Proportional to 619.69 and 958.97

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Solution

The third proportional to 619.69 and 958.97 is: 1,484.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.69 : 958.97 = 958.97 : x
  2. Step 2: Convert to fraction form
    619.69/958.97 = 958.97/x
  3. Step 3: Cross multiply
    619.69x = 958.97 × 958.97
  4. Step 4: Simplify right side
    619.69x = 919,621.06
  5. Step 5: Solve for x
    x = 919,621.06/619.69
  6. Step 6: Final answer
    x = 1,484.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.