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Finding the Third Proportional to 187,814 and 291,267

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Solution

The third proportional to 187,814 and 291,267 is: 451,704.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,814 : 291,267 = 291,267 : x
  2. Step 2: Convert to fraction form
    187,814/291,267 = 291,267/x
  3. Step 3: Cross multiply
    187,814x = 291,267 × 291,267
  4. Step 4: Simplify right side
    187,814x = 84,836,465,289
  5. Step 5: Solve for x
    x = 84,836,465,289/187,814
  6. Step 6: Final answer
    x = 451,704.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.