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Finding the Third Proportional to 208,945 and 451,138

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Solution

The third proportional to 208,945 and 451,138 is: 974,062.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,945 : 451,138 = 451,138 : x
  2. Step 2: Convert to fraction form
    208,945/451,138 = 451,138/x
  3. Step 3: Cross multiply
    208,945x = 451,138 × 451,138
  4. Step 4: Simplify right side
    208,945x = 203,525,495,044
  5. Step 5: Solve for x
    x = 203,525,495,044/208,945
  6. Step 6: Final answer
    x = 974,062.53

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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.