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Finding the Third Proportional to 450,450 and 970,720

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Solution

The third proportional to 450,450 and 970,720 is: 2,091,902.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,450 : 970,720 = 970,720 : x
  2. Step 2: Convert to fraction form
    450,450/970,720 = 970,720/x
  3. Step 3: Cross multiply
    450,450x = 970,720 × 970,720
  4. Step 4: Simplify right side
    450,450x = 942,297,318,400
  5. Step 5: Solve for x
    x = 942,297,318,400/450,450
  6. Step 6: Final answer
    x = 2,091,902.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.