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Finding the Third Proportional to 203,549 and 445,978

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Solution

The third proportional to 203,549 and 445,978 is: 977,142.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,549 : 445,978 = 445,978 : x
  2. Step 2: Convert to fraction form
    203,549/445,978 = 445,978/x
  3. Step 3: Cross multiply
    203,549x = 445,978 × 445,978
  4. Step 4: Simplify right side
    203,549x = 198,896,376,484
  5. Step 5: Solve for x
    x = 198,896,376,484/203,549
  6. Step 6: Final answer
    x = 977,142.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.