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Finding the Third Proportional to 271,346.06 and 398,889.56

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Solution

The third proportional to 271,346.06 and 398,889.56 is: 586,383.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,346.06 : 398,889.56 = 398,889.56 : x
  2. Step 2: Convert to fraction form
    271,346.06/398,889.56 = 398,889.56/x
  3. Step 3: Cross multiply
    271,346.06x = 398,889.56 × 398,889.56
  4. Step 4: Simplify right side
    271,346.06x = 159,112,883,071.44
  5. Step 5: Solve for x
    x = 159,112,883,071.44/271,346.06
  6. Step 6: Final answer
    x = 586,383.61

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.