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Finding the Third Proportional to 298,606,048 and 427,007,120

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Solution

The third proportional to 298,606,048 and 427,007,120 is: 610,620,855.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,606,048 : 427,007,120 = 427,007,120 : x
  2. Step 2: Convert to fraction form
    298,606,048/427,007,120 = 427,007,120/x
  3. Step 3: Cross multiply
    298,606,048x = 427,007,120 × 427,007,120
  4. Step 4: Simplify right side
    298,606,048x = 182,335,080,530,694,400
  5. Step 5: Solve for x
    x = 182,335,080,530,694,400/298,606,048
  6. Step 6: Final answer
    x = 610,620,855.65

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.