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Finding the Third Proportional to 55,054 and 84,357

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Solution

The third proportional to 55,054 and 84,357 is: 129,256.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,054 : 84,357 = 84,357 : x
  2. Step 2: Convert to fraction form
    55,054/84,357 = 84,357/x
  3. Step 3: Cross multiply
    55,054x = 84,357 × 84,357
  4. Step 4: Simplify right side
    55,054x = 7,116,103,449
  5. Step 5: Solve for x
    x = 7,116,103,449/55,054
  6. Step 6: Final answer
    x = 129,256.79

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.