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Finding the Third Proportional to 519 and 787.13

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Solution

The third proportional to 519 and 787.13 is: 1,193.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    519 : 787.13 = 787.13 : x
  2. Step 2: Convert to fraction form
    519/787.13 = 787.13/x
  3. Step 3: Cross multiply
    519x = 787.13 × 787.13
  4. Step 4: Simplify right side
    519x = 619,565.77
  5. Step 5: Solve for x
    x = 619,565.77/519
  6. Step 6: Final answer
    x = 1,193.77

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.