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Finding the Third Proportional to 209,115 and 458,253

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Solution

The third proportional to 209,115 and 458,253 is: 1,004,212.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,115 : 458,253 = 458,253 : x
  2. Step 2: Convert to fraction form
    209,115/458,253 = 458,253/x
  3. Step 3: Cross multiply
    209,115x = 458,253 × 458,253
  4. Step 4: Simplify right side
    209,115x = 209,995,812,009
  5. Step 5: Solve for x
    x = 209,995,812,009/209,115
  6. Step 6: Final answer
    x = 1,004,212.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.