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Finding the Third Proportional to 189,621 and 409,131

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Solution

The third proportional to 189,621 and 409,131 is: 882,751.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,621 : 409,131 = 409,131 : x
  2. Step 2: Convert to fraction form
    189,621/409,131 = 409,131/x
  3. Step 3: Cross multiply
    189,621x = 409,131 × 409,131
  4. Step 4: Simplify right side
    189,621x = 167,388,175,161
  5. Step 5: Solve for x
    x = 167,388,175,161/189,621
  6. Step 6: Final answer
    x = 882,751.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.