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Finding the Third Proportional to 239,305,729 and 520,540,298

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Solution

The third proportional to 239,305,729 and 520,540,298 is: 1,132,284,642.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,305,729 : 520,540,298 = 520,540,298 : x
  2. Step 2: Convert to fraction form
    239,305,729/520,540,298 = 520,540,298/x
  3. Step 3: Cross multiply
    239,305,729x = 520,540,298 × 520,540,298
  4. Step 4: Simplify right side
    239,305,729x = 270,962,201,841,928,800
  5. Step 5: Solve for x
    x = 270,962,201,841,928,800/239,305,729
  6. Step 6: Final answer
    x = 1,132,284,642.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.