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Finding the Third Proportional to 406,164.38 and 631,450.69

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Solution

The third proportional to 406,164.38 and 631,450.69 is: 981,696.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,164.38 : 631,450.69 = 631,450.69 : x
  2. Step 2: Convert to fraction form
    406,164.38/631,450.69 = 631,450.69/x
  3. Step 3: Cross multiply
    406,164.38x = 631,450.69 × 631,450.69
  4. Step 4: Simplify right side
    406,164.38x = 398,729,970,744.22
  5. Step 5: Solve for x
    x = 398,729,970,744.22/406,164.38
  6. Step 6: Final answer
    x = 981,696.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.