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Finding the Third Proportional to 1,620.56 and 3,534.19

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Solution

The third proportional to 1,620.56 and 3,534.19 is: 7,707.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620.56 : 3,534.19 = 3,534.19 : x
  2. Step 2: Convert to fraction form
    1,620.56/3,534.19 = 3,534.19/x
  3. Step 3: Cross multiply
    1,620.56x = 3,534.19 × 3,534.19
  4. Step 4: Simplify right side
    1,620.56x = 12,490,481.29
  5. Step 5: Solve for x
    x = 12,490,481.29/1,620.56
  6. Step 6: Final answer
    x = 7,707.50

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.