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Finding the Third Proportional to 134,802 and 202,635

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Solution

The third proportional to 134,802 and 202,635 is: 304,601.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,802 : 202,635 = 202,635 : x
  2. Step 2: Convert to fraction form
    134,802/202,635 = 202,635/x
  3. Step 3: Cross multiply
    134,802x = 202,635 × 202,635
  4. Step 4: Simplify right side
    134,802x = 41,060,943,225
  5. Step 5: Solve for x
    x = 41,060,943,225/134,802
  6. Step 6: Final answer
    x = 304,601.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.