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Finding the Third Proportional to 3,831.52 and 9,155.93

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Solution

The third proportional to 3,831.52 and 9,155.93 is: 21,879.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,831.52 : 9,155.93 = 9,155.93 : x
  2. Step 2: Convert to fraction form
    3,831.52/9,155.93 = 9,155.93/x
  3. Step 3: Cross multiply
    3,831.52x = 9,155.93 × 9,155.93
  4. Step 4: Simplify right side
    3,831.52x = 83,830,994.79
  5. Step 5: Solve for x
    x = 83,830,994.79/3,831.52
  6. Step 6: Final answer
    x = 21,879.30

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.