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Finding the Third Proportional to 280,717 and 573,621

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Solution

The third proportional to 280,717 and 573,621 is: 1,172,145.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,717 : 573,621 = 573,621 : x
  2. Step 2: Convert to fraction form
    280,717/573,621 = 573,621/x
  3. Step 3: Cross multiply
    280,717x = 573,621 × 573,621
  4. Step 4: Simplify right side
    280,717x = 329,041,051,641
  5. Step 5: Solve for x
    x = 329,041,051,641/280,717
  6. Step 6: Final answer
    x = 1,172,145.08

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.