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Finding the Third Proportional to 233.40 and 332.07

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Solution

The third proportional to 233.40 and 332.07 is: 472.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.40 : 332.07 = 332.07 : x
  2. Step 2: Convert to fraction form
    233.40/332.07 = 332.07/x
  3. Step 3: Cross multiply
    233.40x = 332.07 × 332.07
  4. Step 4: Simplify right side
    233.40x = 110,269.40
  5. Step 5: Solve for x
    x = 110,269.40/233.40
  6. Step 6: Final answer
    x = 472.44

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.