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Finding the Third Proportional to 39,481 and 75,322

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Solution

The third proportional to 39,481 and 75,322 is: 143,699.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,481 : 75,322 = 75,322 : x
  2. Step 2: Convert to fraction form
    39,481/75,322 = 75,322/x
  3. Step 3: Cross multiply
    39,481x = 75,322 × 75,322
  4. Step 4: Simplify right side
    39,481x = 5,673,403,684
  5. Step 5: Solve for x
    x = 5,673,403,684/39,481
  6. Step 6: Final answer
    x = 143,699.59

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.