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Finding the Third Proportional to 55,012 and 81,519

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Solution

The third proportional to 55,012 and 81,519 is: 120,798.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,012 : 81,519 = 81,519 : x
  2. Step 2: Convert to fraction form
    55,012/81,519 = 81,519/x
  3. Step 3: Cross multiply
    55,012x = 81,519 × 81,519
  4. Step 4: Simplify right side
    55,012x = 6,645,347,361
  5. Step 5: Solve for x
    x = 6,645,347,361/55,012
  6. Step 6: Final answer
    x = 120,798.14

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.