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Finding the Third Proportional to 51,129 and 84,483

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Solution

The third proportional to 51,129 and 84,483 is: 139,595.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,129 : 84,483 = 84,483 : x
  2. Step 2: Convert to fraction form
    51,129/84,483 = 84,483/x
  3. Step 3: Cross multiply
    51,129x = 84,483 × 84,483
  4. Step 4: Simplify right side
    51,129x = 7,137,377,289
  5. Step 5: Solve for x
    x = 7,137,377,289/51,129
  6. Step 6: Final answer
    x = 139,595.48

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.