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Finding the Third Proportional to 585,990 and 878,823

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Solution

The third proportional to 585,990 and 878,823 is: 1,317,991.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,990 : 878,823 = 878,823 : x
  2. Step 2: Convert to fraction form
    585,990/878,823 = 878,823/x
  3. Step 3: Cross multiply
    585,990x = 878,823 × 878,823
  4. Step 4: Simplify right side
    585,990x = 772,329,865,329
  5. Step 5: Solve for x
    x = 772,329,865,329/585,990
  6. Step 6: Final answer
    x = 1,317,991.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.