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Finding the Third Proportional to 115,980 and 247,147

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Solution

The third proportional to 115,980 and 247,147 is: 526,656.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,980 : 247,147 = 247,147 : x
  2. Step 2: Convert to fraction form
    115,980/247,147 = 247,147/x
  3. Step 3: Cross multiply
    115,980x = 247,147 × 247,147
  4. Step 4: Simplify right side
    115,980x = 61,081,639,609
  5. Step 5: Solve for x
    x = 61,081,639,609/115,980
  6. Step 6: Final answer
    x = 526,656.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.