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Finding the Third Proportional to 689,393 and 1,029,958

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Solution

The third proportional to 689,393 and 1,029,958 is: 1,538,764.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,393 : 1,029,958 = 1,029,958 : x
  2. Step 2: Convert to fraction form
    689,393/1,029,958 = 1,029,958/x
  3. Step 3: Cross multiply
    689,393x = 1,029,958 × 1,029,958
  4. Step 4: Simplify right side
    689,393x = 1,060,813,481,764
  5. Step 5: Solve for x
    x = 1,060,813,481,764/689,393
  6. Step 6: Final answer
    x = 1,538,764.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.