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Finding the Third Proportional to 203,952 and 437,426

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Solution

The third proportional to 203,952 and 437,426 is: 938,169.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,952 : 437,426 = 437,426 : x
  2. Step 2: Convert to fraction form
    203,952/437,426 = 437,426/x
  3. Step 3: Cross multiply
    203,952x = 437,426 × 437,426
  4. Step 4: Simplify right side
    203,952x = 191,341,505,476
  5. Step 5: Solve for x
    x = 191,341,505,476/203,952
  6. Step 6: Final answer
    x = 938,169.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.