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Finding the Third Proportional to 53,861 and 117,381

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Solution

The third proportional to 53,861 and 117,381 is: 255,812.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,861 : 117,381 = 117,381 : x
  2. Step 2: Convert to fraction form
    53,861/117,381 = 117,381/x
  3. Step 3: Cross multiply
    53,861x = 117,381 × 117,381
  4. Step 4: Simplify right side
    53,861x = 13,778,299,161
  5. Step 5: Solve for x
    x = 13,778,299,161/53,861
  6. Step 6: Final answer
    x = 255,812.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.