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Finding the Third Proportional to 197,258 and 431,420

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Solution

The third proportional to 197,258 and 431,420 is: 943,552.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,258 : 431,420 = 431,420 : x
  2. Step 2: Convert to fraction form
    197,258/431,420 = 431,420/x
  3. Step 3: Cross multiply
    197,258x = 431,420 × 431,420
  4. Step 4: Simplify right side
    197,258x = 186,123,216,400
  5. Step 5: Solve for x
    x = 186,123,216,400/197,258
  6. Step 6: Final answer
    x = 943,552.18

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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.