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Finding the Third Proportional to 142,447 and 303,961

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Solution

The third proportional to 142,447 and 303,961 is: 648,608.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,447 : 303,961 = 303,961 : x
  2. Step 2: Convert to fraction form
    142,447/303,961 = 303,961/x
  3. Step 3: Cross multiply
    142,447x = 303,961 × 303,961
  4. Step 4: Simplify right side
    142,447x = 92,392,289,521
  5. Step 5: Solve for x
    x = 92,392,289,521/142,447
  6. Step 6: Final answer
    x = 648,608.18

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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.