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Finding the Third Proportional to 403,642 and 633,268

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Solution

The third proportional to 403,642 and 633,268 is: 993,524.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,642 : 633,268 = 633,268 : x
  2. Step 2: Convert to fraction form
    403,642/633,268 = 633,268/x
  3. Step 3: Cross multiply
    403,642x = 633,268 × 633,268
  4. Step 4: Simplify right side
    403,642x = 401,028,359,824
  5. Step 5: Solve for x
    x = 401,028,359,824/403,642
  6. Step 6: Final answer
    x = 993,524.86

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.