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Finding the Third Proportional to 233.51 and 387.28

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Solution

The third proportional to 233.51 and 387.28 is: 642.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.51 : 387.28 = 387.28 : x
  2. Step 2: Convert to fraction form
    233.51/387.28 = 387.28/x
  3. Step 3: Cross multiply
    233.51x = 387.28 × 387.28
  4. Step 4: Simplify right side
    233.51x = 149,986.77
  5. Step 5: Solve for x
    x = 149,986.77/233.51
  6. Step 6: Final answer
    x = 642.32

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.