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Finding the Third Proportional to 139,588 and 305,252

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Solution

The third proportional to 139,588 and 305,252 is: 667,527.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,588 : 305,252 = 305,252 : x
  2. Step 2: Convert to fraction form
    139,588/305,252 = 305,252/x
  3. Step 3: Cross multiply
    139,588x = 305,252 × 305,252
  4. Step 4: Simplify right side
    139,588x = 93,178,783,504
  5. Step 5: Solve for x
    x = 93,178,783,504/139,588
  6. Step 6: Final answer
    x = 667,527.18

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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.