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Finding the Third Proportional to 299,259 and 645,995.25

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Solution

The third proportional to 299,259 and 645,995.25 is: 1,394,477.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,259 : 645,995.25 = 645,995.25 : x
  2. Step 2: Convert to fraction form
    299,259/645,995.25 = 645,995.25/x
  3. Step 3: Cross multiply
    299,259x = 645,995.25 × 645,995.25
  4. Step 4: Simplify right side
    299,259x = 417,309,863,022.56
  5. Step 5: Solve for x
    x = 417,309,863,022.56/299,259
  6. Step 6: Final answer
    x = 1,394,477.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.