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Finding the Third Proportional to 386,318 and 847,318

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Solution

The third proportional to 386,318 and 847,318 is: 1,858,437.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,318 : 847,318 = 847,318 : x
  2. Step 2: Convert to fraction form
    386,318/847,318 = 847,318/x
  3. Step 3: Cross multiply
    386,318x = 847,318 × 847,318
  4. Step 4: Simplify right side
    386,318x = 717,947,793,124
  5. Step 5: Solve for x
    x = 717,947,793,124/386,318
  6. Step 6: Final answer
    x = 1,858,437.33

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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.