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Finding the Third Proportional to 190,523 and 280,083

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Solution

The third proportional to 190,523 and 280,083 is: 411,742.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,523 : 280,083 = 280,083 : x
  2. Step 2: Convert to fraction form
    190,523/280,083 = 280,083/x
  3. Step 3: Cross multiply
    190,523x = 280,083 × 280,083
  4. Step 4: Simplify right side
    190,523x = 78,446,486,889
  5. Step 5: Solve for x
    x = 78,446,486,889/190,523
  6. Step 6: Final answer
    x = 411,742.87

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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.