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Finding the Third Proportional to 55,822 and 78,081

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Solution

The third proportional to 55,822 and 78,081 is: 109,215.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,822 : 78,081 = 78,081 : x
  2. Step 2: Convert to fraction form
    55,822/78,081 = 78,081/x
  3. Step 3: Cross multiply
    55,822x = 78,081 × 78,081
  4. Step 4: Simplify right side
    55,822x = 6,096,642,561
  5. Step 5: Solve for x
    x = 6,096,642,561/55,822
  6. Step 6: Final answer
    x = 109,215.77

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.