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Finding the Third Proportional to 290,864 and 634,288

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Solution

The third proportional to 290,864 and 634,288 is: 1,383,193.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,864 : 634,288 = 634,288 : x
  2. Step 2: Convert to fraction form
    290,864/634,288 = 634,288/x
  3. Step 3: Cross multiply
    290,864x = 634,288 × 634,288
  4. Step 4: Simplify right side
    290,864x = 402,321,266,944
  5. Step 5: Solve for x
    x = 402,321,266,944/290,864
  6. Step 6: Final answer
    x = 1,383,193.75

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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.