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Finding the Third Proportional to 36,533 and 78,610

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Solution

The third proportional to 36,533 and 78,610 is: 169,149.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,533 : 78,610 = 78,610 : x
  2. Step 2: Convert to fraction form
    36,533/78,610 = 78,610/x
  3. Step 3: Cross multiply
    36,533x = 78,610 × 78,610
  4. Step 4: Simplify right side
    36,533x = 6,179,532,100
  5. Step 5: Solve for x
    x = 6,179,532,100/36,533
  6. Step 6: Final answer
    x = 169,149.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.