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Finding the Third Proportional to 445,088 and 989,686

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Solution

The third proportional to 445,088 and 989,686 is: 2,200,639.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,088 : 989,686 = 989,686 : x
  2. Step 2: Convert to fraction form
    445,088/989,686 = 989,686/x
  3. Step 3: Cross multiply
    445,088x = 989,686 × 989,686
  4. Step 4: Simplify right side
    445,088x = 979,478,378,596
  5. Step 5: Solve for x
    x = 979,478,378,596/445,088
  6. Step 6: Final answer
    x = 2,200,639.83

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.