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Finding the Third Proportional to 689,638 and 1,076,379

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Solution

The third proportional to 689,638 and 1,076,379 is: 1,679,999.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,638 : 1,076,379 = 1,076,379 : x
  2. Step 2: Convert to fraction form
    689,638/1,076,379 = 1,076,379/x
  3. Step 3: Cross multiply
    689,638x = 1,076,379 × 1,076,379
  4. Step 4: Simplify right side
    689,638x = 1,158,591,751,641
  5. Step 5: Solve for x
    x = 1,158,591,751,641/689,638
  6. Step 6: Final answer
    x = 1,679,999.87

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.