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Finding the Third Proportional to 120,411 and 137,907

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Solution

The third proportional to 120,411 and 137,907 is: 157,945.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,411 : 137,907 = 137,907 : x
  2. Step 2: Convert to fraction form
    120,411/137,907 = 137,907/x
  3. Step 3: Cross multiply
    120,411x = 137,907 × 137,907
  4. Step 4: Simplify right side
    120,411x = 19,018,340,649
  5. Step 5: Solve for x
    x = 19,018,340,649/120,411
  6. Step 6: Final answer
    x = 157,945.21

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.