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Finding the Third Proportional to 53,724 and 117,420

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Solution

The third proportional to 53,724 and 117,420 is: 256,634.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,724 : 117,420 = 117,420 : x
  2. Step 2: Convert to fraction form
    53,724/117,420 = 117,420/x
  3. Step 3: Cross multiply
    53,724x = 117,420 × 117,420
  4. Step 4: Simplify right side
    53,724x = 13,787,456,400
  5. Step 5: Solve for x
    x = 13,787,456,400/53,724
  6. Step 6: Final answer
    x = 256,634.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.