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Finding the Third Proportional to 53,485 and 82,218

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Solution

The third proportional to 53,485 and 82,218 is: 126,386.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,485 : 82,218 = 82,218 : x
  2. Step 2: Convert to fraction form
    53,485/82,218 = 82,218/x
  3. Step 3: Cross multiply
    53,485x = 82,218 × 82,218
  4. Step 4: Simplify right side
    53,485x = 6,759,799,524
  5. Step 5: Solve for x
    x = 6,759,799,524/53,485
  6. Step 6: Final answer
    x = 126,386.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.