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Finding the Third Proportional to 117,617 and 256,558

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Solution

The third proportional to 117,617 and 256,558 is: 559,630.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,617 : 256,558 = 256,558 : x
  2. Step 2: Convert to fraction form
    117,617/256,558 = 256,558/x
  3. Step 3: Cross multiply
    117,617x = 256,558 × 256,558
  4. Step 4: Simplify right side
    117,617x = 65,822,007,364
  5. Step 5: Solve for x
    x = 65,822,007,364/117,617
  6. Step 6: Final answer
    x = 559,630.05

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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.