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Finding the Third Proportional to 51,418 and 81,483

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Solution

The third proportional to 51,418 and 81,483 is: 129,127.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,418 : 81,483 = 81,483 : x
  2. Step 2: Convert to fraction form
    51,418/81,483 = 81,483/x
  3. Step 3: Cross multiply
    51,418x = 81,483 × 81,483
  4. Step 4: Simplify right side
    51,418x = 6,639,479,289
  5. Step 5: Solve for x
    x = 6,639,479,289/51,418
  6. Step 6: Final answer
    x = 129,127.53

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.