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Finding the Third Proportional to 142,448 and 303,962

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Solution

The third proportional to 142,448 and 303,962 is: 648,607.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,448 : 303,962 = 303,962 : x
  2. Step 2: Convert to fraction form
    142,448/303,962 = 303,962/x
  3. Step 3: Cross multiply
    142,448x = 303,962 × 303,962
  4. Step 4: Simplify right side
    142,448x = 92,392,897,444
  5. Step 5: Solve for x
    x = 92,392,897,444/142,448
  6. Step 6: Final answer
    x = 648,607.90

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.