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Finding the Third Proportional to 619.73 and 960.40

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Solution

The third proportional to 619.73 and 960.40 is: 1,488.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.73 : 960.40 = 960.40 : x
  2. Step 2: Convert to fraction form
    619.73/960.40 = 960.40/x
  3. Step 3: Cross multiply
    619.73x = 960.40 × 960.40
  4. Step 4: Simplify right side
    619.73x = 922,365.16
  5. Step 5: Solve for x
    x = 922,365.16/619.73
  6. Step 6: Final answer
    x = 1,488.32

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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.