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Finding the Third Proportional to 120,345 and 180,084

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Solution

The third proportional to 120,345 and 180,084 is: 269,477.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,345 : 180,084 = 180,084 : x
  2. Step 2: Convert to fraction form
    120,345/180,084 = 180,084/x
  3. Step 3: Cross multiply
    120,345x = 180,084 × 180,084
  4. Step 4: Simplify right side
    120,345x = 32,430,247,056
  5. Step 5: Solve for x
    x = 32,430,247,056/120,345
  6. Step 6: Final answer
    x = 269,477.31

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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.