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Finding the Third Proportional to 697,212 and 981,780

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Solution

The third proportional to 697,212 and 981,780 is: 1,382,494.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,212 : 981,780 = 981,780 : x
  2. Step 2: Convert to fraction form
    697,212/981,780 = 981,780/x
  3. Step 3: Cross multiply
    697,212x = 981,780 × 981,780
  4. Step 4: Simplify right side
    697,212x = 963,891,968,400
  5. Step 5: Solve for x
    x = 963,891,968,400/697,212
  6. Step 6: Final answer
    x = 1,382,494.81

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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.