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Finding the Third Proportional to 283,877 and 618,153

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Solution

The third proportional to 283,877 and 618,153 is: 1,346,051.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,877 : 618,153 = 618,153 : x
  2. Step 2: Convert to fraction form
    283,877/618,153 = 618,153/x
  3. Step 3: Cross multiply
    283,877x = 618,153 × 618,153
  4. Step 4: Simplify right side
    283,877x = 382,113,131,409
  5. Step 5: Solve for x
    x = 382,113,131,409/283,877
  6. Step 6: Final answer
    x = 1,346,051.75

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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.