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Finding the Third Proportional to 1,548.56 and 3,345.19

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Solution

The third proportional to 1,548.56 and 3,345.19 is: 7,226.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,548.56 : 3,345.19 = 3,345.19 : x
  2. Step 2: Convert to fraction form
    1,548.56/3,345.19 = 3,345.19/x
  3. Step 3: Cross multiply
    1,548.56x = 3,345.19 × 3,345.19
  4. Step 4: Simplify right side
    1,548.56x = 11,190,279.41
  5. Step 5: Solve for x
    x = 11,190,279.41/1,548.56
  6. Step 6: Final answer
    x = 7,226.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.