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Finding the Third Proportional to 689,633 and 1,076,366

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Solution

The third proportional to 689,633 and 1,076,366 is: 1,679,971.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,633 : 1,076,366 = 1,076,366 : x
  2. Step 2: Convert to fraction form
    689,633/1,076,366 = 1,076,366/x
  3. Step 3: Cross multiply
    689,633x = 1,076,366 × 1,076,366
  4. Step 4: Simplify right side
    689,633x = 1,158,563,765,956
  5. Step 5: Solve for x
    x = 1,158,563,765,956/689,633
  6. Step 6: Final answer
    x = 1,679,971.47

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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.