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Finding the Third Proportional to 209,115 and 315,621

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Solution

The third proportional to 209,115 and 315,621 is: 476,372.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,115 : 315,621 = 315,621 : x
  2. Step 2: Convert to fraction form
    209,115/315,621 = 315,621/x
  3. Step 3: Cross multiply
    209,115x = 315,621 × 315,621
  4. Step 4: Simplify right side
    209,115x = 99,616,615,641
  5. Step 5: Solve for x
    x = 99,616,615,641/209,115
  6. Step 6: Final answer
    x = 476,372.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.