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Finding the Third Proportional to 291,711 and 603,642

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Solution

The third proportional to 291,711 and 603,642 is: 1,249,125.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,711 : 603,642 = 603,642 : x
  2. Step 2: Convert to fraction form
    291,711/603,642 = 603,642/x
  3. Step 3: Cross multiply
    291,711x = 603,642 × 603,642
  4. Step 4: Simplify right side
    291,711x = 364,383,664,164
  5. Step 5: Solve for x
    x = 364,383,664,164/291,711
  6. Step 6: Final answer
    x = 1,249,125.55

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.