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Finding the Third Proportional to 101,412 and 220,263

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Solution

The third proportional to 101,412 and 220,263 is: 478,402.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,412 : 220,263 = 220,263 : x
  2. Step 2: Convert to fraction form
    101,412/220,263 = 220,263/x
  3. Step 3: Cross multiply
    101,412x = 220,263 × 220,263
  4. Step 4: Simplify right side
    101,412x = 48,515,789,169
  5. Step 5: Solve for x
    x = 48,515,789,169/101,412
  6. Step 6: Final answer
    x = 478,402.84

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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.