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Finding the Third Proportional to 39,810 and 87,279

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Solution

The third proportional to 39,810 and 87,279 is: 191,349.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,810 : 87,279 = 87,279 : x
  2. Step 2: Convert to fraction form
    39,810/87,279 = 87,279/x
  3. Step 3: Cross multiply
    39,810x = 87,279 × 87,279
  4. Step 4: Simplify right side
    39,810x = 7,617,623,841
  5. Step 5: Solve for x
    x = 7,617,623,841/39,810
  6. Step 6: Final answer
    x = 191,349.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.