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Finding the Third Proportional to 156,456 and 320,202

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Solution

The third proportional to 156,456 and 320,202 is: 655,323.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,456 : 320,202 = 320,202 : x
  2. Step 2: Convert to fraction form
    156,456/320,202 = 320,202/x
  3. Step 3: Cross multiply
    156,456x = 320,202 × 320,202
  4. Step 4: Simplify right side
    156,456x = 102,529,320,804
  5. Step 5: Solve for x
    x = 102,529,320,804/156,456
  6. Step 6: Final answer
    x = 655,323.67

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.