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Finding the Third Proportional to 220,709 and 349,721

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Solution

The third proportional to 220,709 and 349,721 is: 554,144.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,709 : 349,721 = 349,721 : x
  2. Step 2: Convert to fraction form
    220,709/349,721 = 349,721/x
  3. Step 3: Cross multiply
    220,709x = 349,721 × 349,721
  4. Step 4: Simplify right side
    220,709x = 122,304,777,841
  5. Step 5: Solve for x
    x = 122,304,777,841/220,709
  6. Step 6: Final answer
    x = 554,144.95

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.