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Finding the Third Proportional to 197,190 and 431,695.50

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Solution

The third proportional to 197,190 and 431,695.50 is: 945,083.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,190 : 431,695.50 = 431,695.50 : x
  2. Step 2: Convert to fraction form
    197,190/431,695.50 = 431,695.50/x
  3. Step 3: Cross multiply
    197,190x = 431,695.50 × 431,695.50
  4. Step 4: Simplify right side
    197,190x = 186,361,004,720.25
  5. Step 5: Solve for x
    x = 186,361,004,720.25/197,190
  6. Step 6: Final answer
    x = 945,083.45

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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.