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Finding the Third Proportional to 287,366 and 628,236

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Solution

The third proportional to 287,366 and 628,236 is: 1,373,441.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,366 : 628,236 = 628,236 : x
  2. Step 2: Convert to fraction form
    287,366/628,236 = 628,236/x
  3. Step 3: Cross multiply
    287,366x = 628,236 × 628,236
  4. Step 4: Simplify right side
    287,366x = 394,680,471,696
  5. Step 5: Solve for x
    x = 394,680,471,696/287,366
  6. Step 6: Final answer
    x = 1,373,441.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.