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Finding the Third Proportional to 148,945 and 208,351

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Solution

The third proportional to 148,945 and 208,351 is: 291,450.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,945 : 208,351 = 208,351 : x
  2. Step 2: Convert to fraction form
    148,945/208,351 = 208,351/x
  3. Step 3: Cross multiply
    148,945x = 208,351 × 208,351
  4. Step 4: Simplify right side
    148,945x = 43,410,139,201
  5. Step 5: Solve for x
    x = 43,410,139,201/148,945
  6. Step 6: Final answer
    x = 291,450.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.