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Finding the Third Proportional to 189,873 and 415,211

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Solution

The third proportional to 189,873 and 415,211 is: 907,976.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,873 : 415,211 = 415,211 : x
  2. Step 2: Convert to fraction form
    189,873/415,211 = 415,211/x
  3. Step 3: Cross multiply
    189,873x = 415,211 × 415,211
  4. Step 4: Simplify right side
    189,873x = 172,400,174,521
  5. Step 5: Solve for x
    x = 172,400,174,521/189,873
  6. Step 6: Final answer
    x = 907,976.25

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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.