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Finding the Third Proportional to 197,216 and 431,296

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Solution

The third proportional to 197,216 and 431,296 is: 943,210.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,216 : 431,296 = 431,296 : x
  2. Step 2: Convert to fraction form
    197,216/431,296 = 431,296/x
  3. Step 3: Cross multiply
    197,216x = 431,296 × 431,296
  4. Step 4: Simplify right side
    197,216x = 186,016,239,616
  5. Step 5: Solve for x
    x = 186,016,239,616/197,216
  6. Step 6: Final answer
    x = 943,210.69

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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.