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Finding the Third Proportional to 286,370 and 619,936

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Solution

The third proportional to 286,370 and 619,936 is: 1,342,042.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,370 : 619,936 = 619,936 : x
  2. Step 2: Convert to fraction form
    286,370/619,936 = 619,936/x
  3. Step 3: Cross multiply
    286,370x = 619,936 × 619,936
  4. Step 4: Simplify right side
    286,370x = 384,320,644,096
  5. Step 5: Solve for x
    x = 384,320,644,096/286,370
  6. Step 6: Final answer
    x = 1,342,042.27

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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.