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Finding the Third Proportional to 36,540 and 78,908.63

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Solution

The third proportional to 36,540 and 78,908.63 is: 170,404.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,540 : 78,908.63 = 78,908.63 : x
  2. Step 2: Convert to fraction form
    36,540/78,908.63 = 78,908.63/x
  3. Step 3: Cross multiply
    36,540x = 78,908.63 × 78,908.63
  4. Step 4: Simplify right side
    36,540x = 6,226,571,099.39
  5. Step 5: Solve for x
    x = 6,226,571,099.39/36,540
  6. Step 6: Final answer
    x = 170,404.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.