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Finding the Third Proportional to 51,414 and 81,477

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Solution

The third proportional to 51,414 and 81,477 is: 129,118.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,414 : 81,477 = 81,477 : x
  2. Step 2: Convert to fraction form
    51,414/81,477 = 81,477/x
  3. Step 3: Cross multiply
    51,414x = 81,477 × 81,477
  4. Step 4: Simplify right side
    51,414x = 6,638,501,529
  5. Step 5: Solve for x
    x = 6,638,501,529/51,414
  6. Step 6: Final answer
    x = 129,118.56

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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.