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Finding the Third Proportional to 407,726 and 622,236

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Solution

The third proportional to 407,726 and 622,236 is: 949,602.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,726 : 622,236 = 622,236 : x
  2. Step 2: Convert to fraction form
    407,726/622,236 = 622,236/x
  3. Step 3: Cross multiply
    407,726x = 622,236 × 622,236
  4. Step 4: Simplify right side
    407,726x = 387,177,639,696
  5. Step 5: Solve for x
    x = 387,177,639,696/407,726
  6. Step 6: Final answer
    x = 949,602.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.