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Finding the Third Proportional to 689,839 and 1,076,657

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Solution

The third proportional to 689,839 and 1,076,657 is: 1,680,378.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,839 : 1,076,657 = 1,076,657 : x
  2. Step 2: Convert to fraction form
    689,839/1,076,657 = 1,076,657/x
  3. Step 3: Cross multiply
    689,839x = 1,076,657 × 1,076,657
  4. Step 4: Simplify right side
    689,839x = 1,159,190,295,649
  5. Step 5: Solve for x
    x = 1,159,190,295,649/689,839
  6. Step 6: Final answer
    x = 1,680,378.02

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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.