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Finding the Third Proportional to 298,086 and 437,625

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Solution

The third proportional to 298,086 and 437,625 is: 642,484.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,086 : 437,625 = 437,625 : x
  2. Step 2: Convert to fraction form
    298,086/437,625 = 437,625/x
  3. Step 3: Cross multiply
    298,086x = 437,625 × 437,625
  4. Step 4: Simplify right side
    298,086x = 191,515,640,625
  5. Step 5: Solve for x
    x = 191,515,640,625/298,086
  6. Step 6: Final answer
    x = 642,484.52

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.