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Finding the Third Proportional to 212,769 and 459,161

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Solution

The third proportional to 212,769 and 459,161 is: 990,881.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,769 : 459,161 = 459,161 : x
  2. Step 2: Convert to fraction form
    212,769/459,161 = 459,161/x
  3. Step 3: Cross multiply
    212,769x = 459,161 × 459,161
  4. Step 4: Simplify right side
    212,769x = 210,828,823,921
  5. Step 5: Solve for x
    x = 210,828,823,921/212,769
  6. Step 6: Final answer
    x = 990,881.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.