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Finding the Third Proportional to 689,019 and 1,006,311

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Solution

The third proportional to 689,019 and 1,006,311 is: 1,469,715.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,019 : 1,006,311 = 1,006,311 : x
  2. Step 2: Convert to fraction form
    689,019/1,006,311 = 1,006,311/x
  3. Step 3: Cross multiply
    689,019x = 1,006,311 × 1,006,311
  4. Step 4: Simplify right side
    689,019x = 1,012,661,828,721
  5. Step 5: Solve for x
    x = 1,012,661,828,721/689,019
  6. Step 6: Final answer
    x = 1,469,715.39

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.