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Finding the Third Proportional to 106,058 and 234,196

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Solution

The third proportional to 106,058 and 234,196 is: 517,148.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,058 : 234,196 = 234,196 : x
  2. Step 2: Convert to fraction form
    106,058/234,196 = 234,196/x
  3. Step 3: Cross multiply
    106,058x = 234,196 × 234,196
  4. Step 4: Simplify right side
    106,058x = 54,847,766,416
  5. Step 5: Solve for x
    x = 54,847,766,416/106,058
  6. Step 6: Final answer
    x = 517,148.79

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.