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Finding the Third Proportional to 419,904.50 and 637,632.75

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Solution

The third proportional to 419,904.50 and 637,632.75 is: 968,257.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,904.50 : 637,632.75 = 637,632.75 : x
  2. Step 2: Convert to fraction form
    419,904.50/637,632.75 = 637,632.75/x
  3. Step 3: Cross multiply
    419,904.50x = 637,632.75 × 637,632.75
  4. Step 4: Simplify right side
    419,904.50x = 406,575,523,872.56
  5. Step 5: Solve for x
    x = 406,575,523,872.56/419,904.50
  6. Step 6: Final answer
    x = 968,257.12

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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.