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Finding the Third Proportional to 511.31 and 787.08

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Solution

The third proportional to 511.31 and 787.08 is: 1,211.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.31 : 787.08 = 787.08 : x
  2. Step 2: Convert to fraction form
    511.31/787.08 = 787.08/x
  3. Step 3: Cross multiply
    511.31x = 787.08 × 787.08
  4. Step 4: Simplify right side
    511.31x = 619,491.97
  5. Step 5: Solve for x
    x = 619,491.97/511.31
  6. Step 6: Final answer
    x = 1,211.57

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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.