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Finding the Third Proportional to 220,007 and 343,151

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Solution

The third proportional to 220,007 and 343,151 is: 535,222.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,007 : 343,151 = 343,151 : x
  2. Step 2: Convert to fraction form
    220,007/343,151 = 343,151/x
  3. Step 3: Cross multiply
    220,007x = 343,151 × 343,151
  4. Step 4: Simplify right side
    220,007x = 117,752,608,801
  5. Step 5: Solve for x
    x = 117,752,608,801/220,007
  6. Step 6: Final answer
    x = 535,222.10

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.