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Finding the Third Proportional to 713.53 and 787.78

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Solution

The third proportional to 713.53 and 787.78 is: 869.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.53 : 787.78 = 787.78 : x
  2. Step 2: Convert to fraction form
    713.53/787.78 = 787.78/x
  3. Step 3: Cross multiply
    713.53x = 787.78 × 787.78
  4. Step 4: Simplify right side
    713.53x = 620,599.30
  5. Step 5: Solve for x
    x = 620,599.30/713.53
  6. Step 6: Final answer
    x = 869.76

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.