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Finding the Third Proportional to 291,626 and 606,520

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Solution

The third proportional to 291,626 and 606,520 is: 1,261,432.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,626 : 606,520 = 606,520 : x
  2. Step 2: Convert to fraction form
    291,626/606,520 = 606,520/x
  3. Step 3: Cross multiply
    291,626x = 606,520 × 606,520
  4. Step 4: Simplify right side
    291,626x = 367,866,510,400
  5. Step 5: Solve for x
    x = 367,866,510,400/291,626
  6. Step 6: Final answer
    x = 1,261,432.49

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.