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Finding the Third Proportional to 283,978 and 431,151

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Solution

The third proportional to 283,978 and 431,151 is: 654,597.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,978 : 431,151 = 431,151 : x
  2. Step 2: Convert to fraction form
    283,978/431,151 = 431,151/x
  3. Step 3: Cross multiply
    283,978x = 431,151 × 431,151
  4. Step 4: Simplify right side
    283,978x = 185,891,184,801
  5. Step 5: Solve for x
    x = 185,891,184,801/283,978
  6. Step 6: Final answer
    x = 654,597.13

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.