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Finding the Third Proportional to 388,214 and 848,396

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Solution

The third proportional to 388,214 and 848,396 is: 1,854,069.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,214 : 848,396 = 848,396 : x
  2. Step 2: Convert to fraction form
    388,214/848,396 = 848,396/x
  3. Step 3: Cross multiply
    388,214x = 848,396 × 848,396
  4. Step 4: Simplify right side
    388,214x = 719,775,772,816
  5. Step 5: Solve for x
    x = 719,775,772,816/388,214
  6. Step 6: Final answer
    x = 1,854,069.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.