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Finding the Third Proportional to 204,258.38 and 448,831.13

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Solution

The third proportional to 204,258.38 and 448,831.13 is: 986,247.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,258.38 : 448,831.13 = 448,831.13 : x
  2. Step 2: Convert to fraction form
    204,258.38/448,831.13 = 448,831.13/x
  3. Step 3: Cross multiply
    204,258.38x = 448,831.13 × 448,831.13
  4. Step 4: Simplify right side
    204,258.38x = 201,449,378,768.77
  5. Step 5: Solve for x
    x = 201,449,378,768.77/204,258.38
  6. Step 6: Final answer
    x = 986,247.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.