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Finding the Third Proportional to 156,211 and 340,690

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Solution

The third proportional to 156,211 and 340,690 is: 743,031.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,211 : 340,690 = 340,690 : x
  2. Step 2: Convert to fraction form
    156,211/340,690 = 340,690/x
  3. Step 3: Cross multiply
    156,211x = 340,690 × 340,690
  4. Step 4: Simplify right side
    156,211x = 116,069,676,100
  5. Step 5: Solve for x
    x = 116,069,676,100/156,211
  6. Step 6: Final answer
    x = 743,031.39

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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.