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Finding the Third Proportional to 189,912 and 409,344

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Solution

The third proportional to 189,912 and 409,344 is: 882,316.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,912 : 409,344 = 409,344 : x
  2. Step 2: Convert to fraction form
    189,912/409,344 = 409,344/x
  3. Step 3: Cross multiply
    189,912x = 409,344 × 409,344
  4. Step 4: Simplify right side
    189,912x = 167,562,510,336
  5. Step 5: Solve for x
    x = 167,562,510,336/189,912
  6. Step 6: Final answer
    x = 882,316.60

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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.