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Finding the Third Proportional to 263,753,431 and 387,729,243

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Solution

The third proportional to 263,753,431 and 387,729,243 is: 569,979,185.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,753,431 : 387,729,243 = 387,729,243 : x
  2. Step 2: Convert to fraction form
    263,753,431/387,729,243 = 387,729,243/x
  3. Step 3: Cross multiply
    263,753,431x = 387,729,243 × 387,729,243
  4. Step 4: Simplify right side
    263,753,431x = 150,333,965,877,353,056
  5. Step 5: Solve for x
    x = 150,333,965,877,353,056/263,753,431
  6. Step 6: Final answer
    x = 569,979,185.89

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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.