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Finding the Third Proportional to 433.48 and 934.66

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Solution

The third proportional to 433.48 and 934.66 is: 2,015.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.48 : 934.66 = 934.66 : x
  2. Step 2: Convert to fraction form
    433.48/934.66 = 934.66/x
  3. Step 3: Cross multiply
    433.48x = 934.66 × 934.66
  4. Step 4: Simplify right side
    433.48x = 873,596.91
  5. Step 5: Solve for x
    x = 873,596.91/433.48
  6. Step 6: Final answer
    x = 2,015.33

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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.