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Finding the Third Proportional to 388,219 and 848,405

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Solution

The third proportional to 388,219 and 848,405 is: 1,854,085.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,219 : 848,405 = 848,405 : x
  2. Step 2: Convert to fraction form
    388,219/848,405 = 848,405/x
  3. Step 3: Cross multiply
    388,219x = 848,405 × 848,405
  4. Step 4: Simplify right side
    388,219x = 719,791,044,025
  5. Step 5: Solve for x
    x = 719,791,044,025/388,219
  6. Step 6: Final answer
    x = 1,854,085.05

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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.