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Finding the Third Proportional to 271,340 and 578,704

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Solution

The third proportional to 271,340 and 578,704 is: 1,234,238.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,340 : 578,704 = 578,704 : x
  2. Step 2: Convert to fraction form
    271,340/578,704 = 578,704/x
  3. Step 3: Cross multiply
    271,340x = 578,704 × 578,704
  4. Step 4: Simplify right side
    271,340x = 334,898,319,616
  5. Step 5: Solve for x
    x = 334,898,319,616/271,340
  6. Step 6: Final answer
    x = 1,234,238.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.