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Finding the Third Proportional to 210,831 and 459,081

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Solution

The third proportional to 210,831 and 459,081 is: 999,641.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,831 : 459,081 = 459,081 : x
  2. Step 2: Convert to fraction form
    210,831/459,081 = 459,081/x
  3. Step 3: Cross multiply
    210,831x = 459,081 × 459,081
  4. Step 4: Simplify right side
    210,831x = 210,755,364,561
  5. Step 5: Solve for x
    x = 210,755,364,561/210,831
  6. Step 6: Final answer
    x = 999,641.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.