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Finding the Third Proportional to 106,945 and 149,518

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Solution

The third proportional to 106,945 and 149,518 is: 209,038.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,945 : 149,518 = 149,518 : x
  2. Step 2: Convert to fraction form
    106,945/149,518 = 149,518/x
  3. Step 3: Cross multiply
    106,945x = 149,518 × 149,518
  4. Step 4: Simplify right side
    106,945x = 22,355,632,324
  5. Step 5: Solve for x
    x = 22,355,632,324/106,945
  6. Step 6: Final answer
    x = 209,038.59

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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.