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Finding the Third Proportional to 55,918 and 81,571

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Solution

The third proportional to 55,918 and 81,571 is: 118,992.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,918 : 81,571 = 81,571 : x
  2. Step 2: Convert to fraction form
    55,918/81,571 = 81,571/x
  3. Step 3: Cross multiply
    55,918x = 81,571 × 81,571
  4. Step 4: Simplify right side
    55,918x = 6,653,828,041
  5. Step 5: Solve for x
    x = 6,653,828,041/55,918
  6. Step 6: Final answer
    x = 118,992.60

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.