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Finding the Third Proportional to 168,271,600 and 258,485,774

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Solution

The third proportional to 168,271,600 and 258,485,774 is: 397,065,787.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,271,600 : 258,485,774 = 258,485,774 : x
  2. Step 2: Convert to fraction form
    168,271,600/258,485,774 = 258,485,774/x
  3. Step 3: Cross multiply
    168,271,600x = 258,485,774 × 258,485,774
  4. Step 4: Simplify right side
    168,271,600x = 66,814,895,360,379,072
  5. Step 5: Solve for x
    x = 66,814,895,360,379,072/168,271,600
  6. Step 6: Final answer
    x = 397,065,787.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.