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Finding the Third Proportional to 445,772 and 972,792

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Solution

The third proportional to 445,772 and 972,792 is: 2,122,888.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,772 : 972,792 = 972,792 : x
  2. Step 2: Convert to fraction form
    445,772/972,792 = 972,792/x
  3. Step 3: Cross multiply
    445,772x = 972,792 × 972,792
  4. Step 4: Simplify right side
    445,772x = 946,324,275,264
  5. Step 5: Solve for x
    x = 946,324,275,264/445,772
  6. Step 6: Final answer
    x = 2,122,888.55

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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.