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Finding the Third Proportional to 209,019 and 457,302

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Solution

The third proportional to 209,019 and 457,302 is: 1,000,507.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,019 : 457,302 = 457,302 : x
  2. Step 2: Convert to fraction form
    209,019/457,302 = 457,302/x
  3. Step 3: Cross multiply
    209,019x = 457,302 × 457,302
  4. Step 4: Simplify right side
    209,019x = 209,125,119,204
  5. Step 5: Solve for x
    x = 209,125,119,204/209,019
  6. Step 6: Final answer
    x = 1,000,507.70

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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.