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Finding the Third Proportional to 159,685 and 347,720

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Solution

The third proportional to 159,685 and 347,720 is: 757,173.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,685 : 347,720 = 347,720 : x
  2. Step 2: Convert to fraction form
    159,685/347,720 = 347,720/x
  3. Step 3: Cross multiply
    159,685x = 347,720 × 347,720
  4. Step 4: Simplify right side
    159,685x = 120,909,198,400
  5. Step 5: Solve for x
    x = 120,909,198,400/159,685
  6. Step 6: Final answer
    x = 757,173.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.