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Finding the Third Proportional to 156,947 and 201,515

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Solution

The third proportional to 156,947 and 201,515 is: 258,738.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,947 : 201,515 = 201,515 : x
  2. Step 2: Convert to fraction form
    156,947/201,515 = 201,515/x
  3. Step 3: Cross multiply
    156,947x = 201,515 × 201,515
  4. Step 4: Simplify right side
    156,947x = 40,608,295,225
  5. Step 5: Solve for x
    x = 40,608,295,225/156,947
  6. Step 6: Final answer
    x = 258,738.91

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.