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Finding the Third Proportional to 290,736.63 and 615,995.25

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Solution

The third proportional to 290,736.63 and 615,995.25 is: 1,305,133.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,736.63 : 615,995.25 = 615,995.25 : x
  2. Step 2: Convert to fraction form
    290,736.63/615,995.25 = 615,995.25/x
  3. Step 3: Cross multiply
    290,736.63x = 615,995.25 × 615,995.25
  4. Step 4: Simplify right side
    290,736.63x = 379,450,148,022.56
  5. Step 5: Solve for x
    x = 379,450,148,022.56/290,736.63
  6. Step 6: Final answer
    x = 1,305,133.63

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.