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Finding the Third Proportional to 198,888 and 431,640

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Solution

The third proportional to 198,888 and 431,640 is: 936,773.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,888 : 431,640 = 431,640 : x
  2. Step 2: Convert to fraction form
    198,888/431,640 = 431,640/x
  3. Step 3: Cross multiply
    198,888x = 431,640 × 431,640
  4. Step 4: Simplify right side
    198,888x = 186,313,089,600
  5. Step 5: Solve for x
    x = 186,313,089,600/198,888
  6. Step 6: Final answer
    x = 936,773.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.