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Finding the Third Proportional to 445,216 and 989,920

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Solution

The third proportional to 445,216 and 989,920 is: 2,201,047.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,216 : 989,920 = 989,920 : x
  2. Step 2: Convert to fraction form
    445,216/989,920 = 989,920/x
  3. Step 3: Cross multiply
    445,216x = 989,920 × 989,920
  4. Step 4: Simplify right side
    445,216x = 979,941,606,400
  5. Step 5: Solve for x
    x = 979,941,606,400/445,216
  6. Step 6: Final answer
    x = 2,201,047.60

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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.