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Finding the Third Proportional to 7,831.13 and 17,633.81

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Solution

The third proportional to 7,831.13 and 17,633.81 is: 39,707.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,831.13 : 17,633.81 = 17,633.81 : x
  2. Step 2: Convert to fraction form
    7,831.13/17,633.81 = 17,633.81/x
  3. Step 3: Cross multiply
    7,831.13x = 17,633.81 × 17,633.81
  4. Step 4: Simplify right side
    7,831.13x = 310,951,343.29
  5. Step 5: Solve for x
    x = 310,951,343.29/7,831.13
  6. Step 6: Final answer
    x = 39,707.11

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.