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Finding the Third Proportional to 291,828 and 603,876

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Solution

The third proportional to 291,828 and 603,876 is: 1,249,592.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,828 : 603,876 = 603,876 : x
  2. Step 2: Convert to fraction form
    291,828/603,876 = 603,876/x
  3. Step 3: Cross multiply
    291,828x = 603,876 × 603,876
  4. Step 4: Simplify right side
    291,828x = 364,666,223,376
  5. Step 5: Solve for x
    x = 364,666,223,376/291,828
  6. Step 6: Final answer
    x = 1,249,592.99

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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.