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Finding the Third Proportional to 388,208 and 823,070

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Solution

The third proportional to 388,208 and 823,070 is: 1,745,054.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,208 : 823,070 = 823,070 : x
  2. Step 2: Convert to fraction form
    388,208/823,070 = 823,070/x
  3. Step 3: Cross multiply
    388,208x = 823,070 × 823,070
  4. Step 4: Simplify right side
    388,208x = 677,444,224,900
  5. Step 5: Solve for x
    x = 677,444,224,900/388,208
  6. Step 6: Final answer
    x = 1,745,054.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.