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Finding the Third Proportional to 53,840 and 117,724

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Solution

The third proportional to 53,840 and 117,724 is: 257,409.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,840 : 117,724 = 117,724 : x
  2. Step 2: Convert to fraction form
    53,840/117,724 = 117,724/x
  3. Step 3: Cross multiply
    53,840x = 117,724 × 117,724
  4. Step 4: Simplify right side
    53,840x = 13,858,940,176
  5. Step 5: Solve for x
    x = 13,858,940,176/53,840
  6. Step 6: Final answer
    x = 257,409.74

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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.