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Finding the Third Proportional to 139,486 and 305,338

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Solution

The third proportional to 139,486 and 305,338 is: 668,391.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,486 : 305,338 = 305,338 : x
  2. Step 2: Convert to fraction form
    139,486/305,338 = 305,338/x
  3. Step 3: Cross multiply
    139,486x = 305,338 × 305,338
  4. Step 4: Simplify right side
    139,486x = 93,231,294,244
  5. Step 5: Solve for x
    x = 93,231,294,244/139,486
  6. Step 6: Final answer
    x = 668,391.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.