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Finding the Third Proportional to 285,022 and 615,728

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Solution

The third proportional to 285,022 and 615,728 is: 1,330,146.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,022 : 615,728 = 615,728 : x
  2. Step 2: Convert to fraction form
    285,022/615,728 = 615,728/x
  3. Step 3: Cross multiply
    285,022x = 615,728 × 615,728
  4. Step 4: Simplify right side
    285,022x = 379,120,969,984
  5. Step 5: Solve for x
    x = 379,120,969,984/285,022
  6. Step 6: Final answer
    x = 1,330,146.34

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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.