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Finding the Third Proportional to 108,036 and 163,544

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Solution

The third proportional to 108,036 and 163,544 is: 247,571.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,036 : 163,544 = 163,544 : x
  2. Step 2: Convert to fraction form
    108,036/163,544 = 163,544/x
  3. Step 3: Cross multiply
    108,036x = 163,544 × 163,544
  4. Step 4: Simplify right side
    108,036x = 26,746,639,936
  5. Step 5: Solve for x
    x = 26,746,639,936/108,036
  6. Step 6: Final answer
    x = 247,571.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.