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Finding the Third Proportional to 97,419 and 209,405

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Solution

The third proportional to 97,419 and 209,405 is: 450,122.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,419 : 209,405 = 209,405 : x
  2. Step 2: Convert to fraction form
    97,419/209,405 = 209,405/x
  3. Step 3: Cross multiply
    97,419x = 209,405 × 209,405
  4. Step 4: Simplify right side
    97,419x = 43,850,454,025
  5. Step 5: Solve for x
    x = 43,850,454,025/97,419
  6. Step 6: Final answer
    x = 450,122.19

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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.