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Finding the Third Proportional to 55,137 and 82,487

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Solution

The third proportional to 55,137 and 82,487 is: 123,403.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,137 : 82,487 = 82,487 : x
  2. Step 2: Convert to fraction form
    55,137/82,487 = 82,487/x
  3. Step 3: Cross multiply
    55,137x = 82,487 × 82,487
  4. Step 4: Simplify right side
    55,137x = 6,804,105,169
  5. Step 5: Solve for x
    x = 6,804,105,169/55,137
  6. Step 6: Final answer
    x = 123,403.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.