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Finding the Third Proportional to 393,040 and 859,627

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Solution

The third proportional to 393,040 and 859,627 is: 1,880,110.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,040 : 859,627 = 859,627 : x
  2. Step 2: Convert to fraction form
    393,040/859,627 = 859,627/x
  3. Step 3: Cross multiply
    393,040x = 859,627 × 859,627
  4. Step 4: Simplify right side
    393,040x = 738,958,579,129
  5. Step 5: Solve for x
    x = 738,958,579,129/393,040
  6. Step 6: Final answer
    x = 1,880,110.37

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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.