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Finding the Third Proportional to 393,792 and 858,858

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Solution

The third proportional to 393,792 and 858,858 is: 1,873,164.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,792 : 858,858 = 858,858 : x
  2. Step 2: Convert to fraction form
    393,792/858,858 = 858,858/x
  3. Step 3: Cross multiply
    393,792x = 858,858 × 858,858
  4. Step 4: Simplify right side
    393,792x = 737,637,064,164
  5. Step 5: Solve for x
    x = 737,637,064,164/393,792
  6. Step 6: Final answer
    x = 1,873,164.17

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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.