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Finding the Third Proportional to 51,232 and 108,544

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Solution

The third proportional to 51,232 and 108,544 is: 229,969.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,232 : 108,544 = 108,544 : x
  2. Step 2: Convert to fraction form
    51,232/108,544 = 108,544/x
  3. Step 3: Cross multiply
    51,232x = 108,544 × 108,544
  4. Step 4: Simplify right side
    51,232x = 11,781,799,936
  5. Step 5: Solve for x
    x = 11,781,799,936/51,232
  6. Step 6: Final answer
    x = 229,969.55

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.