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Finding the Third Proportional to 300,522.75 and 634,579.50

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Solution

The third proportional to 300,522.75 and 634,579.50 is: 1,339,968.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,522.75 : 634,579.50 = 634,579.50 : x
  2. Step 2: Convert to fraction form
    300,522.75/634,579.50 = 634,579.50/x
  3. Step 3: Cross multiply
    300,522.75x = 634,579.50 × 634,579.50
  4. Step 4: Simplify right side
    300,522.75x = 402,691,141,820.25
  5. Step 5: Solve for x
    x = 402,691,141,820.25/300,522.75
  6. Step 6: Final answer
    x = 1,339,968.91

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.