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Finding the Third Proportional to 190,830 and 280,411

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Solution

The third proportional to 190,830 and 280,411 is: 412,043.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,830 : 280,411 = 280,411 : x
  2. Step 2: Convert to fraction form
    190,830/280,411 = 280,411/x
  3. Step 3: Cross multiply
    190,830x = 280,411 × 280,411
  4. Step 4: Simplify right side
    190,830x = 78,630,328,921
  5. Step 5: Solve for x
    x = 78,630,328,921/190,830
  6. Step 6: Final answer
    x = 412,043.86

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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.