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Finding the Third Proportional to 197,163 and 431,640

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Solution

The third proportional to 197,163 and 431,640 is: 944,969.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,163 : 431,640 = 431,640 : x
  2. Step 2: Convert to fraction form
    197,163/431,640 = 431,640/x
  3. Step 3: Cross multiply
    197,163x = 431,640 × 431,640
  4. Step 4: Simplify right side
    197,163x = 186,313,089,600
  5. Step 5: Solve for x
    x = 186,313,089,600/197,163
  6. Step 6: Final answer
    x = 944,969.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.