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Finding the Third Proportional to 189,912 and 410,280

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Solution

The third proportional to 189,912 and 410,280 is: 886,356.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,912 : 410,280 = 410,280 : x
  2. Step 2: Convert to fraction form
    189,912/410,280 = 410,280/x
  3. Step 3: Cross multiply
    189,912x = 410,280 × 410,280
  4. Step 4: Simplify right side
    189,912x = 168,329,678,400
  5. Step 5: Solve for x
    x = 168,329,678,400/189,912
  6. Step 6: Final answer
    x = 886,356.20

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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.