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Finding the Third Proportional to 85,260 and 133,357

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Solution

The third proportional to 85,260 and 133,357 is: 208,586.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,260 : 133,357 = 133,357 : x
  2. Step 2: Convert to fraction form
    85,260/133,357 = 133,357/x
  3. Step 3: Cross multiply
    85,260x = 133,357 × 133,357
  4. Step 4: Simplify right side
    85,260x = 17,784,089,449
  5. Step 5: Solve for x
    x = 17,784,089,449/85,260
  6. Step 6: Final answer
    x = 208,586.55

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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.