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Finding the Third Proportional to 159,838 and 350,780

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Solution

The third proportional to 159,838 and 350,780 is: 769,820.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,838 : 350,780 = 350,780 : x
  2. Step 2: Convert to fraction form
    159,838/350,780 = 350,780/x
  3. Step 3: Cross multiply
    159,838x = 350,780 × 350,780
  4. Step 4: Simplify right side
    159,838x = 123,046,608,400
  5. Step 5: Solve for x
    x = 123,046,608,400/159,838
  6. Step 6: Final answer
    x = 769,820.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.