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Finding the Third Proportional to 258,026 and 398,704

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Solution

The third proportional to 258,026 and 398,704 is: 616,080.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,026 : 398,704 = 398,704 : x
  2. Step 2: Convert to fraction form
    258,026/398,704 = 398,704/x
  3. Step 3: Cross multiply
    258,026x = 398,704 × 398,704
  4. Step 4: Simplify right side
    258,026x = 158,964,879,616
  5. Step 5: Solve for x
    x = 158,964,879,616/258,026
  6. Step 6: Final answer
    x = 616,080.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.