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Finding the Third Proportional to 803,682 and 1,215,855

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Solution

The third proportional to 803,682 and 1,215,855 is: 1,839,413.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,682 : 1,215,855 = 1,215,855 : x
  2. Step 2: Convert to fraction form
    803,682/1,215,855 = 1,215,855/x
  3. Step 3: Cross multiply
    803,682x = 1,215,855 × 1,215,855
  4. Step 4: Simplify right side
    803,682x = 1,478,303,381,025
  5. Step 5: Solve for x
    x = 1,478,303,381,025/803,682
  6. Step 6: Final answer
    x = 1,839,413.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.