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Finding the Third Proportional to 118,536 and 256,746

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Solution

The third proportional to 118,536 and 256,746 is: 556,105.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,536 : 256,746 = 256,746 : x
  2. Step 2: Convert to fraction form
    118,536/256,746 = 256,746/x
  3. Step 3: Cross multiply
    118,536x = 256,746 × 256,746
  4. Step 4: Simplify right side
    118,536x = 65,918,508,516
  5. Step 5: Solve for x
    x = 65,918,508,516/118,536
  6. Step 6: Final answer
    x = 556,105.39

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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.