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Finding the Third Proportional to 209,074 and 315,555

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Solution

The third proportional to 209,074 and 315,555 is: 476,266.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,074 : 315,555 = 315,555 : x
  2. Step 2: Convert to fraction form
    209,074/315,555 = 315,555/x
  3. Step 3: Cross multiply
    209,074x = 315,555 × 315,555
  4. Step 4: Simplify right side
    209,074x = 99,574,958,025
  5. Step 5: Solve for x
    x = 99,574,958,025/209,074
  6. Step 6: Final answer
    x = 476,266.58

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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.