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Finding the Third Proportional to 511.95 and 787.85

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Solution

The third proportional to 511.95 and 787.85 is: 1,212.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.95 : 787.85 = 787.85 : x
  2. Step 2: Convert to fraction form
    511.95/787.85 = 787.85/x
  3. Step 3: Cross multiply
    511.95x = 787.85 × 787.85
  4. Step 4: Simplify right side
    511.95x = 620,710.08
  5. Step 5: Solve for x
    x = 620,710.08/511.95
  6. Step 6: Final answer
    x = 1,212.45

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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.