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Finding the Third Proportional to 288,872 and 422,610

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Solution

The third proportional to 288,872 and 422,610 is: 618,264.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,872 : 422,610 = 422,610 : x
  2. Step 2: Convert to fraction form
    288,872/422,610 = 422,610/x
  3. Step 3: Cross multiply
    288,872x = 422,610 × 422,610
  4. Step 4: Simplify right side
    288,872x = 178,599,212,100
  5. Step 5: Solve for x
    x = 178,599,212,100/288,872
  6. Step 6: Final answer
    x = 618,264.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.