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Finding the Third Proportional to 53,678 and 115,159

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Solution

The third proportional to 53,678 and 115,159 is: 247,058.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,678 : 115,159 = 115,159 : x
  2. Step 2: Convert to fraction form
    53,678/115,159 = 115,159/x
  3. Step 3: Cross multiply
    53,678x = 115,159 × 115,159
  4. Step 4: Simplify right side
    53,678x = 13,261,595,281
  5. Step 5: Solve for x
    x = 13,261,595,281/53,678
  6. Step 6: Final answer
    x = 247,058.30

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.