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Finding the Third Proportional to 1,623.28 and 3,519.84

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Solution

The third proportional to 1,623.28 and 3,519.84 is: 7,632.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,623.28 : 3,519.84 = 3,519.84 : x
  2. Step 2: Convert to fraction form
    1,623.28/3,519.84 = 3,519.84/x
  3. Step 3: Cross multiply
    1,623.28x = 3,519.84 × 3,519.84
  4. Step 4: Simplify right side
    1,623.28x = 12,389,300.02
  5. Step 5: Solve for x
    x = 12,389,300.02/1,623.28
  6. Step 6: Final answer
    x = 7,632.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.