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Finding the Third Proportional to 159,343 and 349,790

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Solution

The third proportional to 159,343 and 349,790 is: 767,859.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,343 : 349,790 = 349,790 : x
  2. Step 2: Convert to fraction form
    159,343/349,790 = 349,790/x
  3. Step 3: Cross multiply
    159,343x = 349,790 × 349,790
  4. Step 4: Simplify right side
    159,343x = 122,353,044,100
  5. Step 5: Solve for x
    x = 122,353,044,100/159,343
  6. Step 6: Final answer
    x = 767,859.55

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.