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Finding the Third Proportional to 696,870 and 981,378

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Solution

The third proportional to 696,870 and 981,378 is: 1,382,040.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,870 : 981,378 = 981,378 : x
  2. Step 2: Convert to fraction form
    696,870/981,378 = 981,378/x
  3. Step 3: Cross multiply
    696,870x = 981,378 × 981,378
  4. Step 4: Simplify right side
    696,870x = 963,102,778,884
  5. Step 5: Solve for x
    x = 963,102,778,884/696,870
  6. Step 6: Final answer
    x = 1,382,040.81

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.