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Finding the Third Proportional to 101,310 and 220,458

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Solution

The third proportional to 101,310 and 220,458 is: 479,732.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,310 : 220,458 = 220,458 : x
  2. Step 2: Convert to fraction form
    101,310/220,458 = 220,458/x
  3. Step 3: Cross multiply
    101,310x = 220,458 × 220,458
  4. Step 4: Simplify right side
    101,310x = 48,601,729,764
  5. Step 5: Solve for x
    x = 48,601,729,764/101,310
  6. Step 6: Final answer
    x = 479,732.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.