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Finding the Third Proportional to 876.75 and 1,228.88

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Solution

The third proportional to 876.75 and 1,228.88 is: 1,722.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.75 : 1,228.88 = 1,228.88 : x
  2. Step 2: Convert to fraction form
    876.75/1,228.88 = 1,228.88/x
  3. Step 3: Cross multiply
    876.75x = 1,228.88 × 1,228.88
  4. Step 4: Simplify right side
    876.75x = 1,510,133.77
  5. Step 5: Solve for x
    x = 1,510,133.77/876.75
  6. Step 6: Final answer
    x = 1,722.42

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.