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Finding the Third Proportional to 447,622 and 915,920

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Solution

The third proportional to 447,622 and 915,920 is: 1,874,147.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,622 : 915,920 = 915,920 : x
  2. Step 2: Convert to fraction form
    447,622/915,920 = 915,920/x
  3. Step 3: Cross multiply
    447,622x = 915,920 × 915,920
  4. Step 4: Simplify right side
    447,622x = 838,909,446,400
  5. Step 5: Solve for x
    x = 838,909,446,400/447,622
  6. Step 6: Final answer
    x = 1,874,147.04

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.