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Finding the Third Proportional to 511.56 and 787.31

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Solution

The third proportional to 511.56 and 787.31 is: 1,211.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.56 : 787.31 = 787.31 : x
  2. Step 2: Convert to fraction form
    511.56/787.31 = 787.31/x
  3. Step 3: Cross multiply
    511.56x = 787.31 × 787.31
  4. Step 4: Simplify right side
    511.56x = 619,860.97
  5. Step 5: Solve for x
    x = 619,860.97/511.56
  6. Step 6: Final answer
    x = 1,211.70

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.