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Finding the Third Proportional to 283,860 and 619,968

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Solution

The third proportional to 283,860 and 619,968 is: 1,354,048.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,860 : 619,968 = 619,968 : x
  2. Step 2: Convert to fraction form
    283,860/619,968 = 619,968/x
  3. Step 3: Cross multiply
    283,860x = 619,968 × 619,968
  4. Step 4: Simplify right side
    283,860x = 384,360,321,024
  5. Step 5: Solve for x
    x = 384,360,321,024/283,860
  6. Step 6: Final answer
    x = 1,354,048.90

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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.