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Finding the Third Proportional to 9,116.50 and 13,702.75

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Solution

The third proportional to 9,116.50 and 13,702.75 is: 20,596.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,116.50 : 13,702.75 = 13,702.75 : x
  2. Step 2: Convert to fraction form
    9,116.50/13,702.75 = 13,702.75/x
  3. Step 3: Cross multiply
    9,116.50x = 13,702.75 × 13,702.75
  4. Step 4: Simplify right side
    9,116.50x = 187,765,357.56
  5. Step 5: Solve for x
    x = 187,765,357.56/9,116.50
  6. Step 6: Final answer
    x = 20,596.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.