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Finding the Third Proportional to 220,721 and 341,699

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Solution

The third proportional to 220,721 and 341,699 is: 528,985.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,721 : 341,699 = 341,699 : x
  2. Step 2: Convert to fraction form
    220,721/341,699 = 341,699/x
  3. Step 3: Cross multiply
    220,721x = 341,699 × 341,699
  4. Step 4: Simplify right side
    220,721x = 116,758,206,601
  5. Step 5: Solve for x
    x = 116,758,206,601/220,721
  6. Step 6: Final answer
    x = 528,985.49

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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.