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Finding the Third Proportional to 79,578 and 107,695

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Solution

The third proportional to 79,578 and 107,695 is: 145,746.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,578 : 107,695 = 107,695 : x
  2. Step 2: Convert to fraction form
    79,578/107,695 = 107,695/x
  3. Step 3: Cross multiply
    79,578x = 107,695 × 107,695
  4. Step 4: Simplify right side
    79,578x = 11,598,213,025
  5. Step 5: Solve for x
    x = 11,598,213,025/79,578
  6. Step 6: Final answer
    x = 145,746.48

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.