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Finding the Third Proportional to 235,911 and 509,190

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Solution

The third proportional to 235,911 and 509,190 is: 1,099,035.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,911 : 509,190 = 509,190 : x
  2. Step 2: Convert to fraction form
    235,911/509,190 = 509,190/x
  3. Step 3: Cross multiply
    235,911x = 509,190 × 509,190
  4. Step 4: Simplify right side
    235,911x = 259,274,456,100
  5. Step 5: Solve for x
    x = 259,274,456,100/235,911
  6. Step 6: Final answer
    x = 1,099,035.04

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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.