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Finding the Third Proportional to 288,868 and 422,605

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Solution

The third proportional to 288,868 and 422,605 is: 618,258.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,868 : 422,605 = 422,605 : x
  2. Step 2: Convert to fraction form
    288,868/422,605 = 422,605/x
  3. Step 3: Cross multiply
    288,868x = 422,605 × 422,605
  4. Step 4: Simplify right side
    288,868x = 178,594,986,025
  5. Step 5: Solve for x
    x = 178,594,986,025/288,868
  6. Step 6: Final answer
    x = 618,258.12

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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.