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Finding the Third Proportional to 118,533 and 256,830

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Solution

The third proportional to 118,533 and 256,830 is: 556,483.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,533 : 256,830 = 256,830 : x
  2. Step 2: Convert to fraction form
    118,533/256,830 = 256,830/x
  3. Step 3: Cross multiply
    118,533x = 256,830 × 256,830
  4. Step 4: Simplify right side
    118,533x = 65,961,648,900
  5. Step 5: Solve for x
    x = 65,961,648,900/118,533
  6. Step 6: Final answer
    x = 556,483.42

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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.