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Finding the Third Proportional to 159,694 and 345,685

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Solution

The third proportional to 159,694 and 345,685 is: 748,294.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,694 : 345,685 = 345,685 : x
  2. Step 2: Convert to fraction form
    159,694/345,685 = 345,685/x
  3. Step 3: Cross multiply
    159,694x = 345,685 × 345,685
  4. Step 4: Simplify right side
    159,694x = 119,498,119,225
  5. Step 5: Solve for x
    x = 119,498,119,225/159,694
  6. Step 6: Final answer
    x = 748,294.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.