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Finding the Third Proportional to 142,114 and 303,921

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Solution

The third proportional to 142,114 and 303,921 is: 649,956.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,114 : 303,921 = 303,921 : x
  2. Step 2: Convert to fraction form
    142,114/303,921 = 303,921/x
  3. Step 3: Cross multiply
    142,114x = 303,921 × 303,921
  4. Step 4: Simplify right side
    142,114x = 92,367,974,241
  5. Step 5: Solve for x
    x = 92,367,974,241/142,114
  6. Step 6: Final answer
    x = 649,956.90

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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.