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Finding the Third Proportional to 208,936 and 451,121

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Solution

The third proportional to 208,936 and 451,121 is: 974,031.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,936 : 451,121 = 451,121 : x
  2. Step 2: Convert to fraction form
    208,936/451,121 = 451,121/x
  3. Step 3: Cross multiply
    208,936x = 451,121 × 451,121
  4. Step 4: Simplify right side
    208,936x = 203,510,156,641
  5. Step 5: Solve for x
    x = 203,510,156,641/208,936
  6. Step 6: Final answer
    x = 974,031.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.