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Finding the Third Proportional to 1,621.13 and 1,788.19

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Solution

The third proportional to 1,621.13 and 1,788.19 is: 1,972.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,621.13 : 1,788.19 = 1,788.19 : x
  2. Step 2: Convert to fraction form
    1,621.13/1,788.19 = 1,788.19/x
  3. Step 3: Cross multiply
    1,621.13x = 1,788.19 × 1,788.19
  4. Step 4: Simplify right side
    1,621.13x = 3,197,614.54
  5. Step 5: Solve for x
    x = 3,197,614.54/1,621.13
  6. Step 6: Final answer
    x = 1,972.47

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.