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Finding the Third Proportional to 419,971.50 and 633,399.75

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Solution

The third proportional to 419,971.50 and 633,399.75 is: 955,291.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,971.50 : 633,399.75 = 633,399.75 : x
  2. Step 2: Convert to fraction form
    419,971.50/633,399.75 = 633,399.75/x
  3. Step 3: Cross multiply
    419,971.50x = 633,399.75 × 633,399.75
  4. Step 4: Simplify right side
    419,971.50x = 401,195,243,300.06
  5. Step 5: Solve for x
    x = 401,195,243,300.06/419,971.50
  6. Step 6: Final answer
    x = 955,291.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.