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Finding the Third Proportional to 203,058 and 445,500

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Solution

The third proportional to 203,058 and 445,500 is: 977,406.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,058 : 445,500 = 445,500 : x
  2. Step 2: Convert to fraction form
    203,058/445,500 = 445,500/x
  3. Step 3: Cross multiply
    203,058x = 445,500 × 445,500
  4. Step 4: Simplify right side
    203,058x = 198,470,250,000
  5. Step 5: Solve for x
    x = 198,470,250,000/203,058
  6. Step 6: Final answer
    x = 977,406.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.