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Finding the Third Proportional to 210,067 and 315,255

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Solution

The third proportional to 210,067 and 315,255 is: 473,114.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,067 : 315,255 = 315,255 : x
  2. Step 2: Convert to fraction form
    210,067/315,255 = 315,255/x
  3. Step 3: Cross multiply
    210,067x = 315,255 × 315,255
  4. Step 4: Simplify right side
    210,067x = 99,385,715,025
  5. Step 5: Solve for x
    x = 99,385,715,025/210,067
  6. Step 6: Final answer
    x = 473,114.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.