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Finding the Third Proportional to 104,811.75 and 163,443.38

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Solution

The third proportional to 104,811.75 and 163,443.38 is: 254,873.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,811.75 : 163,443.38 = 163,443.38 : x
  2. Step 2: Convert to fraction form
    104,811.75/163,443.38 = 163,443.38/x
  3. Step 3: Cross multiply
    104,811.75x = 163,443.38 × 163,443.38
  4. Step 4: Simplify right side
    104,811.75x = 26,713,736,831.39
  5. Step 5: Solve for x
    x = 26,713,736,831.39/104,811.75
  6. Step 6: Final answer
    x = 254,873.49

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.