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Finding the Third Proportional to 964.41 and 1,453.78

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Solution

The third proportional to 964.41 and 1,453.78 is: 2,191.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    964.41 : 1,453.78 = 1,453.78 : x
  2. Step 2: Convert to fraction form
    964.41/1,453.78 = 1,453.78/x
  3. Step 3: Cross multiply
    964.41x = 1,453.78 × 1,453.78
  4. Step 4: Simplify right side
    964.41x = 2,113,479.92
  5. Step 5: Solve for x
    x = 2,113,479.92/964.41
  6. Step 6: Final answer
    x = 2,191.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.