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Finding the Third Proportional to 388,072 and 848,278

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Solution

The third proportional to 388,072 and 848,278 is: 1,854,232.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,072 : 848,278 = 848,278 : x
  2. Step 2: Convert to fraction form
    388,072/848,278 = 848,278/x
  3. Step 3: Cross multiply
    388,072x = 848,278 × 848,278
  4. Step 4: Simplify right side
    388,072x = 719,575,565,284
  5. Step 5: Solve for x
    x = 719,575,565,284/388,072
  6. Step 6: Final answer
    x = 1,854,232.11

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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.