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Finding the Third Proportional to 393,048 and 859,643

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Solution

The third proportional to 393,048 and 859,643 is: 1,880,142.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,048 : 859,643 = 859,643 : x
  2. Step 2: Convert to fraction form
    393,048/859,643 = 859,643/x
  3. Step 3: Cross multiply
    393,048x = 859,643 × 859,643
  4. Step 4: Simplify right side
    393,048x = 738,986,087,449
  5. Step 5: Solve for x
    x = 738,986,087,449/393,048
  6. Step 6: Final answer
    x = 1,880,142.09

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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.