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Finding the Third Proportional to 190,491 and 413,821

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Solution

The third proportional to 190,491 and 413,821 is: 898,981.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,491 : 413,821 = 413,821 : x
  2. Step 2: Convert to fraction form
    190,491/413,821 = 413,821/x
  3. Step 3: Cross multiply
    190,491x = 413,821 × 413,821
  4. Step 4: Simplify right side
    190,491x = 171,247,820,041
  5. Step 5: Solve for x
    x = 171,247,820,041/190,491
  6. Step 6: Final answer
    x = 898,981.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.