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Finding the Third Proportional to 445,728 and 972,768

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Solution

The third proportional to 445,728 and 972,768 is: 2,122,993.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,728 : 972,768 = 972,768 : x
  2. Step 2: Convert to fraction form
    445,728/972,768 = 972,768/x
  3. Step 3: Cross multiply
    445,728x = 972,768 × 972,768
  4. Step 4: Simplify right side
    445,728x = 946,277,581,824
  5. Step 5: Solve for x
    x = 946,277,581,824/445,728
  6. Step 6: Final answer
    x = 2,122,993.35

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.