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Finding the Third Proportional to 197,706 and 426,288

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Solution

The third proportional to 197,706 and 426,288 is: 919,149.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,706 : 426,288 = 426,288 : x
  2. Step 2: Convert to fraction form
    197,706/426,288 = 426,288/x
  3. Step 3: Cross multiply
    197,706x = 426,288 × 426,288
  4. Step 4: Simplify right side
    197,706x = 181,721,458,944
  5. Step 5: Solve for x
    x = 181,721,458,944/197,706
  6. Step 6: Final answer
    x = 919,149.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.