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Finding the Third Proportional to 409,149 and 889,119

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Solution

The third proportional to 409,149 and 889,119 is: 1,932,138.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,149 : 889,119 = 889,119 : x
  2. Step 2: Convert to fraction form
    409,149/889,119 = 889,119/x
  3. Step 3: Cross multiply
    409,149x = 889,119 × 889,119
  4. Step 4: Simplify right side
    409,149x = 790,532,596,161
  5. Step 5: Solve for x
    x = 790,532,596,161/409,149
  6. Step 6: Final answer
    x = 1,932,138.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.