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Finding the Third Proportional to 286,678 and 634,456

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Solution

The third proportional to 286,678 and 634,456 is: 1,404,134.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,678 : 634,456 = 634,456 : x
  2. Step 2: Convert to fraction form
    286,678/634,456 = 634,456/x
  3. Step 3: Cross multiply
    286,678x = 634,456 × 634,456
  4. Step 4: Simplify right side
    286,678x = 402,534,415,936
  5. Step 5: Solve for x
    x = 402,534,415,936/286,678
  6. Step 6: Final answer
    x = 1,404,134.31

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.