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Finding the Third Proportional to 1,536.47 and 2,121.19

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Solution

The third proportional to 1,536.47 and 2,121.19 is: 2,928.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.47 : 2,121.19 = 2,121.19 : x
  2. Step 2: Convert to fraction form
    1,536.47/2,121.19 = 2,121.19/x
  3. Step 3: Cross multiply
    1,536.47x = 2,121.19 × 2,121.19
  4. Step 4: Simplify right side
    1,536.47x = 4,499,436.41
  5. Step 5: Solve for x
    x = 4,499,436.41/1,536.47
  6. Step 6: Final answer
    x = 2,928.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.