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Finding the Third Proportional to 122,980 and 270,656

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Solution

The third proportional to 122,980 and 270,656 is: 595,663.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,980 : 270,656 = 270,656 : x
  2. Step 2: Convert to fraction form
    122,980/270,656 = 270,656/x
  3. Step 3: Cross multiply
    122,980x = 270,656 × 270,656
  4. Step 4: Simplify right side
    122,980x = 73,254,670,336
  5. Step 5: Solve for x
    x = 73,254,670,336/122,980
  6. Step 6: Final answer
    x = 595,663.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.