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Finding the Third Proportional to 203,607 and 309,621

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Solution

The third proportional to 203,607 and 309,621 is: 470,834.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,607 : 309,621 = 309,621 : x
  2. Step 2: Convert to fraction form
    203,607/309,621 = 309,621/x
  3. Step 3: Cross multiply
    203,607x = 309,621 × 309,621
  4. Step 4: Simplify right side
    203,607x = 95,865,163,641
  5. Step 5: Solve for x
    x = 95,865,163,641/203,607
  6. Step 6: Final answer
    x = 470,834.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.