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Finding the Third Proportional to 197,919 and 431,360

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Solution

The third proportional to 197,919 and 431,360 is: 940,139.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,919 : 431,360 = 431,360 : x
  2. Step 2: Convert to fraction form
    197,919/431,360 = 431,360/x
  3. Step 3: Cross multiply
    197,919x = 431,360 × 431,360
  4. Step 4: Simplify right side
    197,919x = 186,071,449,600
  5. Step 5: Solve for x
    x = 186,071,449,600/197,919
  6. Step 6: Final answer
    x = 940,139.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.