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Finding the Third Proportional to 263,753,434 and 387,729,246

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Solution

The third proportional to 263,753,434 and 387,729,246 is: 569,979,188.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,753,434 : 387,729,246 = 387,729,246 : x
  2. Step 2: Convert to fraction form
    263,753,434/387,729,246 = 387,729,246/x
  3. Step 3: Cross multiply
    263,753,434x = 387,729,246 × 387,729,246
  4. Step 4: Simplify right side
    263,753,434x = 150,333,968,203,728,512
  5. Step 5: Solve for x
    x = 150,333,968,203,728,512/263,753,434
  6. Step 6: Final answer
    x = 569,979,188.23

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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.