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Finding the Third Proportional to 180,108 and 260,861

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Solution

The third proportional to 180,108 and 260,861 is: 377,820.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,108 : 260,861 = 260,861 : x
  2. Step 2: Convert to fraction form
    180,108/260,861 = 260,861/x
  3. Step 3: Cross multiply
    180,108x = 260,861 × 260,861
  4. Step 4: Simplify right side
    180,108x = 68,048,461,321
  5. Step 5: Solve for x
    x = 68,048,461,321/180,108
  6. Step 6: Final answer
    x = 377,820.32

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.