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Finding the Third Proportional to 115,684 and 251,888

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Solution

The third proportional to 115,684 and 251,888 is: 548,455.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,684 : 251,888 = 251,888 : x
  2. Step 2: Convert to fraction form
    115,684/251,888 = 251,888/x
  3. Step 3: Cross multiply
    115,684x = 251,888 × 251,888
  4. Step 4: Simplify right side
    115,684x = 63,447,564,544
  5. Step 5: Solve for x
    x = 63,447,564,544/115,684
  6. Step 6: Final answer
    x = 548,455.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.