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Finding the Third Proportional to 55,183 and 87,438

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Solution

The third proportional to 55,183 and 87,438 is: 138,546.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,183 : 87,438 = 87,438 : x
  2. Step 2: Convert to fraction form
    55,183/87,438 = 87,438/x
  3. Step 3: Cross multiply
    55,183x = 87,438 × 87,438
  4. Step 4: Simplify right side
    55,183x = 7,645,403,844
  5. Step 5: Solve for x
    x = 7,645,403,844/55,183
  6. Step 6: Final answer
    x = 138,546.36

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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.