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Finding the Third Proportional to 139,037 and 303,559

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Solution

The third proportional to 139,037 and 303,559 is: 662,759.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,037 : 303,559 = 303,559 : x
  2. Step 2: Convert to fraction form
    139,037/303,559 = 303,559/x
  3. Step 3: Cross multiply
    139,037x = 303,559 × 303,559
  4. Step 4: Simplify right side
    139,037x = 92,148,066,481
  5. Step 5: Solve for x
    x = 92,148,066,481/139,037
  6. Step 6: Final answer
    x = 662,759.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.