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Finding the Third Proportional to 434.11 and 933.05

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Solution

The third proportional to 434.11 and 933.05 is: 2,005.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.11 : 933.05 = 933.05 : x
  2. Step 2: Convert to fraction form
    434.11/933.05 = 933.05/x
  3. Step 3: Cross multiply
    434.11x = 933.05 × 933.05
  4. Step 4: Simplify right side
    434.11x = 870,576.47
  5. Step 5: Solve for x
    x = 870,576.47/434.11
  6. Step 6: Final answer
    x = 2,005.43

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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.