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Finding the Third Proportional to 445.29 and 956.39

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Solution

The third proportional to 445.29 and 956.39 is: 2,054.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.29 : 956.39 = 956.39 : x
  2. Step 2: Convert to fraction form
    445.29/956.39 = 956.39/x
  3. Step 3: Cross multiply
    445.29x = 956.39 × 956.39
  4. Step 4: Simplify right side
    445.29x = 914,683.03
  5. Step 5: Solve for x
    x = 914,683.03/445.29
  6. Step 6: Final answer
    x = 2,054.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.