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Finding the Third Proportional to 117,615 and 256,554

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Solution

The third proportional to 117,615 and 256,554 is: 559,622.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,615 : 256,554 = 256,554 : x
  2. Step 2: Convert to fraction form
    117,615/256,554 = 256,554/x
  3. Step 3: Cross multiply
    117,615x = 256,554 × 256,554
  4. Step 4: Simplify right side
    117,615x = 65,819,954,916
  5. Step 5: Solve for x
    x = 65,819,954,916/117,615
  6. Step 6: Final answer
    x = 559,622.11

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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.