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Finding the Third Proportional to 212,478 and 459,804

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Solution

The third proportional to 212,478 and 459,804 is: 995,019.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,478 : 459,804 = 459,804 : x
  2. Step 2: Convert to fraction form
    212,478/459,804 = 459,804/x
  3. Step 3: Cross multiply
    212,478x = 459,804 × 459,804
  4. Step 4: Simplify right side
    212,478x = 211,419,718,416
  5. Step 5: Solve for x
    x = 211,419,718,416/212,478
  6. Step 6: Final answer
    x = 995,019.34

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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.