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Finding the Third Proportional to 55,814 and 81,655

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Solution

The third proportional to 55,814 and 81,655 is: 119,459.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,814 : 81,655 = 81,655 : x
  2. Step 2: Convert to fraction form
    55,814/81,655 = 81,655/x
  3. Step 3: Cross multiply
    55,814x = 81,655 × 81,655
  4. Step 4: Simplify right side
    55,814x = 6,667,539,025
  5. Step 5: Solve for x
    x = 6,667,539,025/55,814
  6. Step 6: Final answer
    x = 119,459.97

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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.