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Finding the Third Proportional to 271,309.50 and 589,311

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Solution

The third proportional to 271,309.50 and 589,311 is: 1,280,041.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,309.50 : 589,311 = 589,311 : x
  2. Step 2: Convert to fraction form
    271,309.50/589,311 = 589,311/x
  3. Step 3: Cross multiply
    271,309.50x = 589,311 × 589,311
  4. Step 4: Simplify right side
    271,309.50x = 347,287,454,721
  5. Step 5: Solve for x
    x = 347,287,454,721/271,309.50
  6. Step 6: Final answer
    x = 1,280,041.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.