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Finding the Third Proportional to 100,162.50 and 220,485

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Solution

The third proportional to 100,162.50 and 220,485 is: 485,347.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,162.50 : 220,485 = 220,485 : x
  2. Step 2: Convert to fraction form
    100,162.50/220,485 = 220,485/x
  3. Step 3: Cross multiply
    100,162.50x = 220,485 × 220,485
  4. Step 4: Simplify right side
    100,162.50x = 48,613,635,225
  5. Step 5: Solve for x
    x = 48,613,635,225/100,162.50
  6. Step 6: Final answer
    x = 485,347.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.