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Finding the Third Proportional to 233.88 and 565.19

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Solution

The third proportional to 233.88 and 565.19 is: 1,365.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.88 : 565.19 = 565.19 : x
  2. Step 2: Convert to fraction form
    233.88/565.19 = 565.19/x
  3. Step 3: Cross multiply
    233.88x = 565.19 × 565.19
  4. Step 4: Simplify right side
    233.88x = 319,436.91
  5. Step 5: Solve for x
    x = 319,436.91/233.88
  6. Step 6: Final answer
    x = 1,365.84

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.