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Finding the Third Proportional to 419,910.75 and 637,643.25

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Solution

The third proportional to 419,910.75 and 637,643.25 is: 968,274.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,910.75 : 637,643.25 = 637,643.25 : x
  2. Step 2: Convert to fraction form
    419,910.75/637,643.25 = 637,643.25/x
  3. Step 3: Cross multiply
    419,910.75x = 637,643.25 × 637,643.25
  4. Step 4: Simplify right side
    419,910.75x = 406,588,914,270.56
  5. Step 5: Solve for x
    x = 406,588,914,270.56/419,910.75
  6. Step 6: Final answer
    x = 968,274.60

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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.