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Finding the Third Proportional to 203,486 and 334,025

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Solution

The third proportional to 203,486 and 334,025 is: 548,306.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,486 : 334,025 = 334,025 : x
  2. Step 2: Convert to fraction form
    203,486/334,025 = 334,025/x
  3. Step 3: Cross multiply
    203,486x = 334,025 × 334,025
  4. Step 4: Simplify right side
    203,486x = 111,572,700,625
  5. Step 5: Solve for x
    x = 111,572,700,625/203,486
  6. Step 6: Final answer
    x = 548,306.52

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.