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Finding the Third Proportional to 291,832.50 and 628,694.25

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Solution

The third proportional to 291,832.50 and 628,694.25 is: 1,354,394.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,832.50 : 628,694.25 = 628,694.25 : x
  2. Step 2: Convert to fraction form
    291,832.50/628,694.25 = 628,694.25/x
  3. Step 3: Cross multiply
    291,832.50x = 628,694.25 × 628,694.25
  4. Step 4: Simplify right side
    291,832.50x = 395,256,459,983.06
  5. Step 5: Solve for x
    x = 395,256,459,983.06/291,832.50
  6. Step 6: Final answer
    x = 1,354,394.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.