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Finding the Third Proportional to 142,110 and 303,911

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Solution

The third proportional to 142,110 and 303,911 is: 649,932.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,110 : 303,911 = 303,911 : x
  2. Step 2: Convert to fraction form
    142,110/303,911 = 303,911/x
  3. Step 3: Cross multiply
    142,110x = 303,911 × 303,911
  4. Step 4: Simplify right side
    142,110x = 92,361,895,921
  5. Step 5: Solve for x
    x = 92,361,895,921/142,110
  6. Step 6: Final answer
    x = 649,932.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.