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Finding the Third Proportional to 434.27 and 936.40

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Solution

The third proportional to 434.27 and 936.40 is: 2,019.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.27 : 936.40 = 936.40 : x
  2. Step 2: Convert to fraction form
    434.27/936.40 = 936.40/x
  3. Step 3: Cross multiply
    434.27x = 936.40 × 936.40
  4. Step 4: Simplify right side
    434.27x = 876,853.01
  5. Step 5: Solve for x
    x = 876,853.01/434.27
  6. Step 6: Final answer
    x = 2,019.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.