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Finding the Third Proportional to 233.51 and 511.87

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Solution

The third proportional to 233.51 and 511.87 is: 1,122.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.51 : 511.87 = 511.87 : x
  2. Step 2: Convert to fraction form
    233.51/511.87 = 511.87/x
  3. Step 3: Cross multiply
    233.51x = 511.87 × 511.87
  4. Step 4: Simplify right side
    233.51x = 262,007.02
  5. Step 5: Solve for x
    x = 262,007.02/233.51
  6. Step 6: Final answer
    x = 1,122.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.