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Finding the Third Proportional to 258,410,520 and 387,804,774

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Solution

The third proportional to 258,410,520 and 387,804,774 is: 581,990,790.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,410,520 : 387,804,774 = 387,804,774 : x
  2. Step 2: Convert to fraction form
    258,410,520/387,804,774 = 387,804,774/x
  3. Step 3: Cross multiply
    258,410,520x = 387,804,774 × 387,804,774
  4. Step 4: Simplify right side
    258,410,520x = 150,392,542,737,191,072
  5. Step 5: Solve for x
    x = 150,392,542,737,191,072/258,410,520
  6. Step 6: Final answer
    x = 581,990,790.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.