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Finding the Third Proportional to 117,613 and 256,374

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Solution

The third proportional to 117,613 and 256,374 is: 558,846.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,613 : 256,374 = 256,374 : x
  2. Step 2: Convert to fraction form
    117,613/256,374 = 256,374/x
  3. Step 3: Cross multiply
    117,613x = 256,374 × 256,374
  4. Step 4: Simplify right side
    117,613x = 65,727,627,876
  5. Step 5: Solve for x
    x = 65,727,627,876/117,613
  6. Step 6: Final answer
    x = 558,846.62

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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.