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Finding the Third Proportional to 85,313 and 133,819

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Solution

The third proportional to 85,313 and 133,819 is: 209,903.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,313 : 133,819 = 133,819 : x
  2. Step 2: Convert to fraction form
    85,313/133,819 = 133,819/x
  3. Step 3: Cross multiply
    85,313x = 133,819 × 133,819
  4. Step 4: Simplify right side
    85,313x = 17,907,524,761
  5. Step 5: Solve for x
    x = 17,907,524,761/85,313
  6. Step 6: Final answer
    x = 209,903.82

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.