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Finding the Third Proportional to 6,767.72 and 10,095.47

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Solution

The third proportional to 6,767.72 and 10,095.47 is: 15,059.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,767.72 : 10,095.47 = 10,095.47 : x
  2. Step 2: Convert to fraction form
    6,767.72/10,095.47 = 10,095.47/x
  3. Step 3: Cross multiply
    6,767.72x = 10,095.47 × 10,095.47
  4. Step 4: Simplify right side
    6,767.72x = 101,918,489.28
  5. Step 5: Solve for x
    x = 101,918,489.28/6,767.72
  6. Step 6: Final answer
    x = 15,059.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.