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Finding the Third Proportional to 1,521.28 and 3,158.37

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Solution

The third proportional to 1,521.28 and 3,158.37 is: 6,557.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.28 : 3,158.37 = 3,158.37 : x
  2. Step 2: Convert to fraction form
    1,521.28/3,158.37 = 3,158.37/x
  3. Step 3: Cross multiply
    1,521.28x = 3,158.37 × 3,158.37
  4. Step 4: Simplify right side
    1,521.28x = 9,975,283.29
  5. Step 5: Solve for x
    x = 9,975,283.29/1,521.28
  6. Step 6: Final answer
    x = 6,557.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.