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Finding the Third Proportional to 131,148 and 285,651

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Solution

The third proportional to 131,148 and 285,651 is: 622,171.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,148 : 285,651 = 285,651 : x
  2. Step 2: Convert to fraction form
    131,148/285,651 = 285,651/x
  3. Step 3: Cross multiply
    131,148x = 285,651 × 285,651
  4. Step 4: Simplify right side
    131,148x = 81,596,493,801
  5. Step 5: Solve for x
    x = 81,596,493,801/131,148
  6. Step 6: Final answer
    x = 622,171.09

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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.