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Finding the Third Proportional to 1,521.56 and 4,138.88

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Solution

The third proportional to 1,521.56 and 4,138.88 is: 11,258.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.56 : 4,138.88 = 4,138.88 : x
  2. Step 2: Convert to fraction form
    1,521.56/4,138.88 = 4,138.88/x
  3. Step 3: Cross multiply
    1,521.56x = 4,138.88 × 4,138.88
  4. Step 4: Simplify right side
    1,521.56x = 17,130,286.27
  5. Step 5: Solve for x
    x = 17,130,286.27/1,521.56
  6. Step 6: Final answer
    x = 11,258.35

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.