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Finding the Third Proportional to 263,753,421 and 387,729,228

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Solution

The third proportional to 263,753,421 and 387,729,228 is: 569,979,163.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,753,421 : 387,729,228 = 387,729,228 : x
  2. Step 2: Convert to fraction form
    263,753,421/387,729,228 = 387,729,228/x
  3. Step 3: Cross multiply
    263,753,421x = 387,729,228 × 387,729,228
  4. Step 4: Simplify right side
    263,753,421x = 150,333,954,245,475,968
  5. Step 5: Solve for x
    x = 150,333,954,245,475,968/263,753,421
  6. Step 6: Final answer
    x = 569,979,163.40

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.