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Finding the Third Proportional to 303,719.63 and 664,642.97

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Solution

The third proportional to 303,719.63 and 664,642.97 is: 1,454,467.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,719.63 : 664,642.97 = 664,642.97 : x
  2. Step 2: Convert to fraction form
    303,719.63/664,642.97 = 664,642.97/x
  3. Step 3: Cross multiply
    303,719.63x = 664,642.97 × 664,642.97
  4. Step 4: Simplify right side
    303,719.63x = 441,750,275,908.81
  5. Step 5: Solve for x
    x = 441,750,275,908.81/303,719.63
  6. Step 6: Final answer
    x = 1,454,467.34

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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.