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Finding the Third Proportional to 456,048 and 989,968

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Solution

The third proportional to 456,048 and 989,968 is: 2,148,976.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,048 : 989,968 = 989,968 : x
  2. Step 2: Convert to fraction form
    456,048/989,968 = 989,968/x
  3. Step 3: Cross multiply
    456,048x = 989,968 × 989,968
  4. Step 4: Simplify right side
    456,048x = 980,036,641,024
  5. Step 5: Solve for x
    x = 980,036,641,024/456,048
  6. Step 6: Final answer
    x = 2,148,976.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.