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Finding the Third Proportional to 196,961 and 286,831

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Solution

The third proportional to 196,961 and 286,831 is: 417,707.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,961 : 286,831 = 286,831 : x
  2. Step 2: Convert to fraction form
    196,961/286,831 = 286,831/x
  3. Step 3: Cross multiply
    196,961x = 286,831 × 286,831
  4. Step 4: Simplify right side
    196,961x = 82,272,022,561
  5. Step 5: Solve for x
    x = 82,272,022,561/196,961
  6. Step 6: Final answer
    x = 417,707.17

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.