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Finding the Third Proportional to 213,146 and 318,255

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Solution

The third proportional to 213,146 and 318,255 is: 475,196.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,146 : 318,255 = 318,255 : x
  2. Step 2: Convert to fraction form
    213,146/318,255 = 318,255/x
  3. Step 3: Cross multiply
    213,146x = 318,255 × 318,255
  4. Step 4: Simplify right side
    213,146x = 101,286,245,025
  5. Step 5: Solve for x
    x = 101,286,245,025/213,146
  6. Step 6: Final answer
    x = 475,196.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.