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Finding the Third Proportional to 209,378 and 315,219

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Solution

The third proportional to 209,378 and 315,219 is: 474,562.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,378 : 315,219 = 315,219 : x
  2. Step 2: Convert to fraction form
    209,378/315,219 = 315,219/x
  3. Step 3: Cross multiply
    209,378x = 315,219 × 315,219
  4. Step 4: Simplify right side
    209,378x = 99,363,017,961
  5. Step 5: Solve for x
    x = 99,363,017,961/209,378
  6. Step 6: Final answer
    x = 474,562.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.