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Finding the Third Proportional to 106,056 and 234,192

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Solution

The third proportional to 106,056 and 234,192 is: 517,140.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,056 : 234,192 = 234,192 : x
  2. Step 2: Convert to fraction form
    106,056/234,192 = 234,192/x
  3. Step 3: Cross multiply
    106,056x = 234,192 × 234,192
  4. Step 4: Simplify right side
    106,056x = 54,845,892,864
  5. Step 5: Solve for x
    x = 54,845,892,864/106,056
  6. Step 6: Final answer
    x = 517,140.88

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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.