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Finding the Third Proportional to 299,780,238 and 668,489,626

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Solution

The third proportional to 299,780,238 and 668,489,626 is: 1,490,686,587.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,780,238 : 668,489,626 = 668,489,626 : x
  2. Step 2: Convert to fraction form
    299,780,238/668,489,626 = 668,489,626/x
  3. Step 3: Cross multiply
    299,780,238x = 668,489,626 × 668,489,626
  4. Step 4: Simplify right side
    299,780,238x = 446,878,380,069,619,904
  5. Step 5: Solve for x
    x = 446,878,380,069,619,904/299,780,238
  6. Step 6: Final answer
    x = 1,490,686,587.79

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.