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Finding the Third Proportional to 51,009.75 and 75,831.19

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Solution

The third proportional to 51,009.75 and 75,831.19 is: 112,730.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,009.75 : 75,831.19 = 75,831.19 : x
  2. Step 2: Convert to fraction form
    51,009.75/75,831.19 = 75,831.19/x
  3. Step 3: Cross multiply
    51,009.75x = 75,831.19 × 75,831.19
  4. Step 4: Simplify right side
    51,009.75x = 5,750,368,997.66
  5. Step 5: Solve for x
    x = 5,750,368,997.66/51,009.75
  6. Step 6: Final answer
    x = 112,730.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.