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Finding the Third Proportional to 286,690 and 400,983

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Solution

The third proportional to 286,690 and 400,983 is: 560,840.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,690 : 400,983 = 400,983 : x
  2. Step 2: Convert to fraction form
    286,690/400,983 = 400,983/x
  3. Step 3: Cross multiply
    286,690x = 400,983 × 400,983
  4. Step 4: Simplify right side
    286,690x = 160,787,366,289
  5. Step 5: Solve for x
    x = 160,787,366,289/286,690
  6. Step 6: Final answer
    x = 560,840.51

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.