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Finding the Third Proportional to 156,928 and 343,199

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Solution

The third proportional to 156,928 and 343,199 is: 750,570.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,928 : 343,199 = 343,199 : x
  2. Step 2: Convert to fraction form
    156,928/343,199 = 343,199/x
  3. Step 3: Cross multiply
    156,928x = 343,199 × 343,199
  4. Step 4: Simplify right side
    156,928x = 117,785,553,601
  5. Step 5: Solve for x
    x = 117,785,553,601/156,928
  6. Step 6: Final answer
    x = 750,570.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.