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Finding the Third Proportional to 159,808 and 347,508

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Solution

The third proportional to 159,808 and 347,508 is: 755,668.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,808 : 347,508 = 347,508 : x
  2. Step 2: Convert to fraction form
    159,808/347,508 = 347,508/x
  3. Step 3: Cross multiply
    159,808x = 347,508 × 347,508
  4. Step 4: Simplify right side
    159,808x = 120,761,810,064
  5. Step 5: Solve for x
    x = 120,761,810,064/159,808
  6. Step 6: Final answer
    x = 755,668.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.