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Finding the Third Proportional to 101,772 and 220,485

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Solution

The third proportional to 101,772 and 220,485 is: 477,672.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,772 : 220,485 = 220,485 : x
  2. Step 2: Convert to fraction form
    101,772/220,485 = 220,485/x
  3. Step 3: Cross multiply
    101,772x = 220,485 × 220,485
  4. Step 4: Simplify right side
    101,772x = 48,613,635,225
  5. Step 5: Solve for x
    x = 48,613,635,225/101,772
  6. Step 6: Final answer
    x = 477,672.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.