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Finding the Third Proportional to 202,336 and 437,475

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Solution

The third proportional to 202,336 and 437,475 is: 945,874.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,336 : 437,475 = 437,475 : x
  2. Step 2: Convert to fraction form
    202,336/437,475 = 437,475/x
  3. Step 3: Cross multiply
    202,336x = 437,475 × 437,475
  4. Step 4: Simplify right side
    202,336x = 191,384,375,625
  5. Step 5: Solve for x
    x = 191,384,375,625/202,336
  6. Step 6: Final answer
    x = 945,874.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.