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Finding the Third Proportional to 140,997.38 and 221,519.81

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Solution

The third proportional to 140,997.38 and 221,519.81 is: 348,027.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,997.38 : 221,519.81 = 221,519.81 : x
  2. Step 2: Convert to fraction form
    140,997.38/221,519.81 = 221,519.81/x
  3. Step 3: Cross multiply
    140,997.38x = 221,519.81 × 221,519.81
  4. Step 4: Simplify right side
    140,997.38x = 49,071,027,330.04
  5. Step 5: Solve for x
    x = 49,071,027,330.04/140,997.38
  6. Step 6: Final answer
    x = 348,027.95

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.