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Finding the Third Proportional to 118,313 and 256,589

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Solution

The third proportional to 118,313 and 256,589 is: 556,472.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,313 : 256,589 = 256,589 : x
  2. Step 2: Convert to fraction form
    118,313/256,589 = 256,589/x
  3. Step 3: Cross multiply
    118,313x = 256,589 × 256,589
  4. Step 4: Simplify right side
    118,313x = 65,837,914,921
  5. Step 5: Solve for x
    x = 65,837,914,921/118,313
  6. Step 6: Final answer
    x = 556,472.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.