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Finding the Third Proportional to 6,880.78 and 10,316.53

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Solution

The third proportional to 6,880.78 and 10,316.53 is: 15,467.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,880.78 : 10,316.53 = 10,316.53 : x
  2. Step 2: Convert to fraction form
    6,880.78/10,316.53 = 10,316.53/x
  3. Step 3: Cross multiply
    6,880.78x = 10,316.53 × 10,316.53
  4. Step 4: Simplify right side
    6,880.78x = 106,430,817.03
  5. Step 5: Solve for x
    x = 106,430,817.03/6,880.78
  6. Step 6: Final answer
    x = 15,467.84

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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.