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Finding the Third Proportional to 80,026 and 128,907

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Solution

The third proportional to 80,026 and 128,907 is: 207,645.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,026 : 128,907 = 128,907 : x
  2. Step 2: Convert to fraction form
    80,026/128,907 = 128,907/x
  3. Step 3: Cross multiply
    80,026x = 128,907 × 128,907
  4. Step 4: Simplify right side
    80,026x = 16,617,014,649
  5. Step 5: Solve for x
    x = 16,617,014,649/80,026
  6. Step 6: Final answer
    x = 207,645.20

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.