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Finding the Third Proportional to 190,734.75 and 280,269

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Solution

The third proportional to 190,734.75 and 280,269 is: 411,832.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,734.75 : 280,269 = 280,269 : x
  2. Step 2: Convert to fraction form
    190,734.75/280,269 = 280,269/x
  3. Step 3: Cross multiply
    190,734.75x = 280,269 × 280,269
  4. Step 4: Simplify right side
    190,734.75x = 78,550,712,361
  5. Step 5: Solve for x
    x = 78,550,712,361/190,734.75
  6. Step 6: Final answer
    x = 411,832.20

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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.