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Finding the Third Proportional to 202,902 and 316,635

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Solution

The third proportional to 202,902 and 316,635 is: 494,118.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,902 : 316,635 = 316,635 : x
  2. Step 2: Convert to fraction form
    202,902/316,635 = 316,635/x
  3. Step 3: Cross multiply
    202,902x = 316,635 × 316,635
  4. Step 4: Simplify right side
    202,902x = 100,257,723,225
  5. Step 5: Solve for x
    x = 100,257,723,225/202,902
  6. Step 6: Final answer
    x = 494,118.95

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.