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Finding the Third Proportional to 456,697.62 and 638,490.73

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Solution

The third proportional to 456,697.62 and 638,490.73 is: 892,648.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,697.62 : 638,490.73 = 638,490.73 : x
  2. Step 2: Convert to fraction form
    456,697.62/638,490.73 = 638,490.73/x
  3. Step 3: Cross multiply
    456,697.62x = 638,490.73 × 638,490.73
  4. Step 4: Simplify right side
    456,697.62x = 407,670,407,906.31
  5. Step 5: Solve for x
    x = 407,670,407,906.31/456,697.62
  6. Step 6: Final answer
    x = 892,648.42

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.