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Finding the Third Proportional to 87,503 and 178,697

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Solution

The third proportional to 87,503 and 178,697 is: 364,931.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,503 : 178,697 = 178,697 : x
  2. Step 2: Convert to fraction form
    87,503/178,697 = 178,697/x
  3. Step 3: Cross multiply
    87,503x = 178,697 × 178,697
  4. Step 4: Simplify right side
    87,503x = 31,932,617,809
  5. Step 5: Solve for x
    x = 31,932,617,809/87,503
  6. Step 6: Final answer
    x = 364,931.69

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.