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Finding the Third Proportional to 140,122 and 303,989

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Solution

The third proportional to 140,122 and 303,989 is: 659,491.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,122 : 303,989 = 303,989 : x
  2. Step 2: Convert to fraction form
    140,122/303,989 = 303,989/x
  3. Step 3: Cross multiply
    140,122x = 303,989 × 303,989
  4. Step 4: Simplify right side
    140,122x = 92,409,312,121
  5. Step 5: Solve for x
    x = 92,409,312,121/140,122
  6. Step 6: Final answer
    x = 659,491.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.