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Finding the Third Proportional to 53,540 and 115,720

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Solution

The third proportional to 53,540 and 115,720 is: 250,114.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,540 : 115,720 = 115,720 : x
  2. Step 2: Convert to fraction form
    53,540/115,720 = 115,720/x
  3. Step 3: Cross multiply
    53,540x = 115,720 × 115,720
  4. Step 4: Simplify right side
    53,540x = 13,391,118,400
  5. Step 5: Solve for x
    x = 13,391,118,400/53,540
  6. Step 6: Final answer
    x = 250,114.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.