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Finding the Third Proportional to 6,976.50 and 10,785

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Solution

The third proportional to 6,976.50 and 10,785 is: 16,672.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,976.50 : 10,785 = 10,785 : x
  2. Step 2: Convert to fraction form
    6,976.50/10,785 = 10,785/x
  3. Step 3: Cross multiply
    6,976.50x = 10,785 × 10,785
  4. Step 4: Simplify right side
    6,976.50x = 116,316,225
  5. Step 5: Solve for x
    x = 116,316,225/6,976.50
  6. Step 6: Final answer
    x = 16,672.58

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.