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Finding the Third Proportional to 53,617 and 117,809

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Solution

The third proportional to 53,617 and 117,809 is: 258,853.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,617 : 117,809 = 117,809 : x
  2. Step 2: Convert to fraction form
    53,617/117,809 = 117,809/x
  3. Step 3: Cross multiply
    53,617x = 117,809 × 117,809
  4. Step 4: Simplify right side
    53,617x = 13,878,960,481
  5. Step 5: Solve for x
    x = 13,878,960,481/53,617
  6. Step 6: Final answer
    x = 258,853.73

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.