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Finding the Third Proportional to 299,309 and 650,986

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Solution

The third proportional to 299,309 and 650,986 is: 1,415,870.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,309 : 650,986 = 650,986 : x
  2. Step 2: Convert to fraction form
    299,309/650,986 = 650,986/x
  3. Step 3: Cross multiply
    299,309x = 650,986 × 650,986
  4. Step 4: Simplify right side
    299,309x = 423,782,772,196
  5. Step 5: Solve for x
    x = 423,782,772,196/299,309
  6. Step 6: Final answer
    x = 1,415,870.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.