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Finding the Third Proportional to 218,743 and 342,694

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Solution

The third proportional to 218,743 and 342,694 is: 536,881.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,743 : 342,694 = 342,694 : x
  2. Step 2: Convert to fraction form
    218,743/342,694 = 342,694/x
  3. Step 3: Cross multiply
    218,743x = 342,694 × 342,694
  4. Step 4: Simplify right side
    218,743x = 117,439,177,636
  5. Step 5: Solve for x
    x = 117,439,177,636/218,743
  6. Step 6: Final answer
    x = 536,881.99

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.