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Finding the Third Proportional to 283,310 and 618,892

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Solution

The third proportional to 283,310 and 618,892 is: 1,351,972.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,310 : 618,892 = 618,892 : x
  2. Step 2: Convert to fraction form
    283,310/618,892 = 618,892/x
  3. Step 3: Cross multiply
    283,310x = 618,892 × 618,892
  4. Step 4: Simplify right side
    283,310x = 383,027,307,664
  5. Step 5: Solve for x
    x = 383,027,307,664/283,310
  6. Step 6: Final answer
    x = 1,351,972.42

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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.