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Finding the Third Proportional to 280,092 and 419,160

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Solution

The third proportional to 280,092 and 419,160 is: 627,276.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,092 : 419,160 = 419,160 : x
  2. Step 2: Convert to fraction form
    280,092/419,160 = 419,160/x
  3. Step 3: Cross multiply
    280,092x = 419,160 × 419,160
  4. Step 4: Simplify right side
    280,092x = 175,695,105,600
  5. Step 5: Solve for x
    x = 175,695,105,600/280,092
  6. Step 6: Final answer
    x = 627,276.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.