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Finding the Third Proportional to 153,204 and 220,656

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Solution

The third proportional to 153,204 and 220,656 is: 317,805.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,204 : 220,656 = 220,656 : x
  2. Step 2: Convert to fraction form
    153,204/220,656 = 220,656/x
  3. Step 3: Cross multiply
    153,204x = 220,656 × 220,656
  4. Step 4: Simplify right side
    153,204x = 48,689,070,336
  5. Step 5: Solve for x
    x = 48,689,070,336/153,204
  6. Step 6: Final answer
    x = 317,805.48

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.