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Finding the Third Proportional to 9,706.50 and 11,164.50

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Solution

The third proportional to 9,706.50 and 11,164.50 is: 12,841.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.50 : 11,164.50 = 11,164.50 : x
  2. Step 2: Convert to fraction form
    9,706.50/11,164.50 = 11,164.50/x
  3. Step 3: Cross multiply
    9,706.50x = 11,164.50 × 11,164.50
  4. Step 4: Simplify right side
    9,706.50x = 124,646,060.25
  5. Step 5: Solve for x
    x = 124,646,060.25/9,706.50
  6. Step 6: Final answer
    x = 12,841.50

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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.