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Finding the Third Proportional to 1,305.28 and 2,021.63

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Solution

The third proportional to 1,305.28 and 2,021.63 is: 3,131.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.28 : 2,021.63 = 2,021.63 : x
  2. Step 2: Convert to fraction form
    1,305.28/2,021.63 = 2,021.63/x
  3. Step 3: Cross multiply
    1,305.28x = 2,021.63 × 2,021.63
  4. Step 4: Simplify right side
    1,305.28x = 4,086,967.64
  5. Step 5: Solve for x
    x = 4,086,967.64/1,305.28
  6. Step 6: Final answer
    x = 3,131.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.