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Finding the Third Proportional to 393,718 and 859,608

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Solution

The third proportional to 393,718 and 859,608 is: 1,876,789.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,718 : 859,608 = 859,608 : x
  2. Step 2: Convert to fraction form
    393,718/859,608 = 859,608/x
  3. Step 3: Cross multiply
    393,718x = 859,608 × 859,608
  4. Step 4: Simplify right side
    393,718x = 738,925,913,664
  5. Step 5: Solve for x
    x = 738,925,913,664/393,718
  6. Step 6: Final answer
    x = 1,876,789.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.