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Finding the Third Proportional to 203,219 and 442,642

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Solution

The third proportional to 203,219 and 442,642 is: 964,141.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,219 : 442,642 = 442,642 : x
  2. Step 2: Convert to fraction form
    203,219/442,642 = 442,642/x
  3. Step 3: Cross multiply
    203,219x = 442,642 × 442,642
  4. Step 4: Simplify right side
    203,219x = 195,931,940,164
  5. Step 5: Solve for x
    x = 195,931,940,164/203,219
  6. Step 6: Final answer
    x = 964,141.84

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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.