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Finding the Third Proportional to 213,250 and 459,305

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Solution

The third proportional to 213,250 and 459,305 is: 989,266.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,250 : 459,305 = 459,305 : x
  2. Step 2: Convert to fraction form
    213,250/459,305 = 459,305/x
  3. Step 3: Cross multiply
    213,250x = 459,305 × 459,305
  4. Step 4: Simplify right side
    213,250x = 210,961,083,025
  5. Step 5: Solve for x
    x = 210,961,083,025/213,250
  6. Step 6: Final answer
    x = 989,266.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.