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Finding the Third Proportional to 197,228 and 431,320

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Solution

The third proportional to 197,228 and 431,320 is: 943,258.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,228 : 431,320 = 431,320 : x
  2. Step 2: Convert to fraction form
    197,228/431,320 = 431,320/x
  3. Step 3: Cross multiply
    197,228x = 431,320 × 431,320
  4. Step 4: Simplify right side
    197,228x = 186,036,942,400
  5. Step 5: Solve for x
    x = 186,036,942,400/197,228
  6. Step 6: Final answer
    x = 943,258.27

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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.