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Finding the Third Proportional to 106,098 and 230,932

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Solution

The third proportional to 106,098 and 230,932 is: 502,644.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,098 : 230,932 = 230,932 : x
  2. Step 2: Convert to fraction form
    106,098/230,932 = 230,932/x
  3. Step 3: Cross multiply
    106,098x = 230,932 × 230,932
  4. Step 4: Simplify right side
    106,098x = 53,329,588,624
  5. Step 5: Solve for x
    x = 53,329,588,624/106,098
  6. Step 6: Final answer
    x = 502,644.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.