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Finding the Third Proportional to 38,995 and 84,470

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Solution

The third proportional to 38,995 and 84,470 is: 182,976.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,995 : 84,470 = 84,470 : x
  2. Step 2: Convert to fraction form
    38,995/84,470 = 84,470/x
  3. Step 3: Cross multiply
    38,995x = 84,470 × 84,470
  4. Step 4: Simplify right side
    38,995x = 7,135,180,900
  5. Step 5: Solve for x
    x = 7,135,180,900/38,995
  6. Step 6: Final answer
    x = 182,976.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.