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Finding the Third Proportional to 269,442 and 422,707

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Solution

The third proportional to 269,442 and 422,707 is: 663,152.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,442 : 422,707 = 422,707 : x
  2. Step 2: Convert to fraction form
    269,442/422,707 = 422,707/x
  3. Step 3: Cross multiply
    269,442x = 422,707 × 422,707
  4. Step 4: Simplify right side
    269,442x = 178,681,207,849
  5. Step 5: Solve for x
    x = 178,681,207,849/269,442
  6. Step 6: Final answer
    x = 663,152.77

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.