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Finding the Third Proportional to 419,906.25 and 637,635.38

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Solution

The third proportional to 419,906.25 and 637,635.38 is: 968,261.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,906.25 : 637,635.38 = 637,635.38 : x
  2. Step 2: Convert to fraction form
    419,906.25/637,635.38 = 637,635.38/x
  3. Step 3: Cross multiply
    419,906.25x = 637,635.38 × 637,635.38
  4. Step 4: Simplify right side
    419,906.25x = 406,578,871,451.39
  5. Step 5: Solve for x
    x = 406,578,871,451.39/419,906.25
  6. Step 6: Final answer
    x = 968,261.06

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Why These Related Problems?

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