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Finding the Third Proportional to 133,160 and 202,466

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Solution

The third proportional to 133,160 and 202,466 is: 307,843.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,160 : 202,466 = 202,466 : x
  2. Step 2: Convert to fraction form
    133,160/202,466 = 202,466/x
  3. Step 3: Cross multiply
    133,160x = 202,466 × 202,466
  4. Step 4: Simplify right side
    133,160x = 40,992,481,156
  5. Step 5: Solve for x
    x = 40,992,481,156/133,160
  6. Step 6: Final answer
    x = 307,843.81

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.