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Finding the Third Proportional to 86,405 and 133,436

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Solution

The third proportional to 86,405 and 133,436 is: 206,066.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,405 : 133,436 = 133,436 : x
  2. Step 2: Convert to fraction form
    86,405/133,436 = 133,436/x
  3. Step 3: Cross multiply
    86,405x = 133,436 × 133,436
  4. Step 4: Simplify right side
    86,405x = 17,805,166,096
  5. Step 5: Solve for x
    x = 17,805,166,096/86,405
  6. Step 6: Final answer
    x = 206,066.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.