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Finding the Third Proportional to 53,510 and 126,544

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Solution

The third proportional to 53,510 and 126,544 is: 299,259.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,510 : 126,544 = 126,544 : x
  2. Step 2: Convert to fraction form
    53,510/126,544 = 126,544/x
  3. Step 3: Cross multiply
    53,510x = 126,544 × 126,544
  4. Step 4: Simplify right side
    53,510x = 16,013,383,936
  5. Step 5: Solve for x
    x = 16,013,383,936/53,510
  6. Step 6: Final answer
    x = 299,259.65

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.