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Finding the Third Proportional to 290,200 and 411,000

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Solution

The third proportional to 290,200 and 411,000 is: 582,084.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,200 : 411,000 = 411,000 : x
  2. Step 2: Convert to fraction form
    290,200/411,000 = 411,000/x
  3. Step 3: Cross multiply
    290,200x = 411,000 × 411,000
  4. Step 4: Simplify right side
    290,200x = 168,921,000,000
  5. Step 5: Solve for x
    x = 168,921,000,000/290,200
  6. Step 6: Final answer
    x = 582,084.77

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.