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Finding the Third Proportional to 120,717 and 180,435

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Solution

The third proportional to 120,717 and 180,435 is: 269,695.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,717 : 180,435 = 180,435 : x
  2. Step 2: Convert to fraction form
    120,717/180,435 = 180,435/x
  3. Step 3: Cross multiply
    120,717x = 180,435 × 180,435
  4. Step 4: Simplify right side
    120,717x = 32,556,789,225
  5. Step 5: Solve for x
    x = 32,556,789,225/120,717
  6. Step 6: Final answer
    x = 269,695.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.