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Finding the Third Proportional to 269,444 and 422,710

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Solution

The third proportional to 269,444 and 422,710 is: 663,157.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,444 : 422,710 = 422,710 : x
  2. Step 2: Convert to fraction form
    269,444/422,710 = 422,710/x
  3. Step 3: Cross multiply
    269,444x = 422,710 × 422,710
  4. Step 4: Simplify right side
    269,444x = 178,683,744,100
  5. Step 5: Solve for x
    x = 178,683,744,100/269,444
  6. Step 6: Final answer
    x = 663,157.26

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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.