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Finding the Third Proportional to 354,917 and 774,064

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Solution

The third proportional to 354,917 and 774,064 is: 1,688,211.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,917 : 774,064 = 774,064 : x
  2. Step 2: Convert to fraction form
    354,917/774,064 = 774,064/x
  3. Step 3: Cross multiply
    354,917x = 774,064 × 774,064
  4. Step 4: Simplify right side
    354,917x = 599,175,076,096
  5. Step 5: Solve for x
    x = 599,175,076,096/354,917
  6. Step 6: Final answer
    x = 1,688,211.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.