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Finding the Third Proportional to 490,768.88 and 1,072,878.75

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Solution

The third proportional to 490,768.88 and 1,072,878.75 is: 2,345,439.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,768.88 : 1,072,878.75 = 1,072,878.75 : x
  2. Step 2: Convert to fraction form
    490,768.88/1,072,878.75 = 1,072,878.75/x
  3. Step 3: Cross multiply
    490,768.88x = 1,072,878.75 × 1,072,878.75
  4. Step 4: Simplify right side
    490,768.88x = 1,151,068,812,201.56
  5. Step 5: Solve for x
    x = 1,151,068,812,201.56/490,768.88
  6. Step 6: Final answer
    x = 2,345,439.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.