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Finding the Third Proportional to 220,720 and 341,698

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Solution

The third proportional to 220,720 and 341,698 is: 528,984.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,720 : 341,698 = 341,698 : x
  2. Step 2: Convert to fraction form
    220,720/341,698 = 341,698/x
  3. Step 3: Cross multiply
    220,720x = 341,698 × 341,698
  4. Step 4: Simplify right side
    220,720x = 116,757,523,204
  5. Step 5: Solve for x
    x = 116,757,523,204/220,720
  6. Step 6: Final answer
    x = 528,984.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.