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Finding the Third Proportional to 147,972.38 and 320,843.81

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Solution

The third proportional to 147,972.38 and 320,843.81 is: 695,675.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,972.38 : 320,843.81 = 320,843.81 : x
  2. Step 2: Convert to fraction form
    147,972.38/320,843.81 = 320,843.81/x
  3. Step 3: Cross multiply
    147,972.38x = 320,843.81 × 320,843.81
  4. Step 4: Simplify right side
    147,972.38x = 102,940,752,019.54
  5. Step 5: Solve for x
    x = 102,940,752,019.54/147,972.38
  6. Step 6: Final answer
    x = 695,675.47

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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.