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Finding the Third Proportional to 85,424 and 133,619

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Solution

The third proportional to 85,424 and 133,619 is: 209,004.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,424 : 133,619 = 133,619 : x
  2. Step 2: Convert to fraction form
    85,424/133,619 = 133,619/x
  3. Step 3: Cross multiply
    85,424x = 133,619 × 133,619
  4. Step 4: Simplify right side
    85,424x = 17,854,037,161
  5. Step 5: Solve for x
    x = 17,854,037,161/85,424
  6. Step 6: Final answer
    x = 209,004.93

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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.