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Finding the Third Proportional to 3,211.31 and 6,603.19

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Solution

The third proportional to 3,211.31 and 6,603.19 is: 13,577.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211.31 : 6,603.19 = 6,603.19 : x
  2. Step 2: Convert to fraction form
    3,211.31/6,603.19 = 6,603.19/x
  3. Step 3: Cross multiply
    3,211.31x = 6,603.19 × 6,603.19
  4. Step 4: Simplify right side
    3,211.31x = 43,602,085.16
  5. Step 5: Solve for x
    x = 43,602,085.16/3,211.31
  6. Step 6: Final answer
    x = 13,577.65

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.