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Finding the Third Proportional to 828.84 and 1,264.36

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Solution

The third proportional to 828.84 and 1,264.36 is: 1,928.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.84 : 1,264.36 = 1,264.36 : x
  2. Step 2: Convert to fraction form
    828.84/1,264.36 = 1,264.36/x
  3. Step 3: Cross multiply
    828.84x = 1,264.36 × 1,264.36
  4. Step 4: Simplify right side
    828.84x = 1,598,604.63
  5. Step 5: Solve for x
    x = 1,598,604.63/828.84
  6. Step 6: Final answer
    x = 1,928.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.