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Finding the Third Proportional to 220,922 and 345,599

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Solution

The third proportional to 220,922 and 345,599 is: 540,637.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,922 : 345,599 = 345,599 : x
  2. Step 2: Convert to fraction form
    220,922/345,599 = 345,599/x
  3. Step 3: Cross multiply
    220,922x = 345,599 × 345,599
  4. Step 4: Simplify right side
    220,922x = 119,438,668,801
  5. Step 5: Solve for x
    x = 119,438,668,801/220,922
  6. Step 6: Final answer
    x = 540,637.28

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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.