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Finding the Third Proportional to 39,221 and 85,354

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Solution

The third proportional to 39,221 and 85,354 is: 185,750.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,221 : 85,354 = 85,354 : x
  2. Step 2: Convert to fraction form
    39,221/85,354 = 85,354/x
  3. Step 3: Cross multiply
    39,221x = 85,354 × 85,354
  4. Step 4: Simplify right side
    39,221x = 7,285,305,316
  5. Step 5: Solve for x
    x = 7,285,305,316/39,221
  6. Step 6: Final answer
    x = 185,750.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.