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Finding the Third Proportional to 511.31 and 684.28

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Solution

The third proportional to 511.31 and 684.28 is: 915.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.31 : 684.28 = 684.28 : x
  2. Step 2: Convert to fraction form
    511.31/684.28 = 684.28/x
  3. Step 3: Cross multiply
    511.31x = 684.28 × 684.28
  4. Step 4: Simplify right side
    511.31x = 468,240.83
  5. Step 5: Solve for x
    x = 468,240.83/511.31
  6. Step 6: Final answer
    x = 915.76

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.