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Finding the Third Proportional to 189,902 and 415,094

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Solution

The third proportional to 189,902 and 415,094 is: 907,326.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,902 : 415,094 = 415,094 : x
  2. Step 2: Convert to fraction form
    189,902/415,094 = 415,094/x
  3. Step 3: Cross multiply
    189,902x = 415,094 × 415,094
  4. Step 4: Simplify right side
    189,902x = 172,303,028,836
  5. Step 5: Solve for x
    x = 172,303,028,836/189,902
  6. Step 6: Final answer
    x = 907,326.04

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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.