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Finding the Third Proportional to 190,816 and 280,389

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Solution

The third proportional to 190,816 and 280,389 is: 412,009.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,816 : 280,389 = 280,389 : x
  2. Step 2: Convert to fraction form
    190,816/280,389 = 280,389/x
  3. Step 3: Cross multiply
    190,816x = 280,389 × 280,389
  4. Step 4: Simplify right side
    190,816x = 78,617,991,321
  5. Step 5: Solve for x
    x = 78,617,991,321/190,816
  6. Step 6: Final answer
    x = 412,009.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.