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Finding the Third Proportional to 6,934.78 and 11,059.03

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Solution

The third proportional to 6,934.78 and 11,059.03 is: 17,636.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,934.78 : 11,059.03 = 11,059.03 : x
  2. Step 2: Convert to fraction form
    6,934.78/11,059.03 = 11,059.03/x
  3. Step 3: Cross multiply
    6,934.78x = 11,059.03 × 11,059.03
  4. Step 4: Simplify right side
    6,934.78x = 122,302,172.19
  5. Step 5: Solve for x
    x = 122,302,172.19/6,934.78
  6. Step 6: Final answer
    x = 17,636.05

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.