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Finding the Third Proportional to 787.91 and 1,716.88

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Solution

The third proportional to 787.91 and 1,716.88 is: 3,741.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.91 : 1,716.88 = 1,716.88 : x
  2. Step 2: Convert to fraction form
    787.91/1,716.88 = 1,716.88/x
  3. Step 3: Cross multiply
    787.91x = 1,716.88 × 1,716.88
  4. Step 4: Simplify right side
    787.91x = 2,947,659.77
  5. Step 5: Solve for x
    x = 2,947,659.77/787.91
  6. Step 6: Final answer
    x = 3,741.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.