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Finding the Third Proportional to 173,785 and 405,983

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Solution

The third proportional to 173,785 and 405,983 is: 948,425.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,785 : 405,983 = 405,983 : x
  2. Step 2: Convert to fraction form
    173,785/405,983 = 405,983/x
  3. Step 3: Cross multiply
    173,785x = 405,983 × 405,983
  4. Step 4: Simplify right side
    173,785x = 164,822,196,289
  5. Step 5: Solve for x
    x = 164,822,196,289/173,785
  6. Step 6: Final answer
    x = 948,425.91

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.