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Finding the Third Proportional to 260,076 and 408,085

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Solution

The third proportional to 260,076 and 408,085 is: 640,325.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,076 : 408,085 = 408,085 : x
  2. Step 2: Convert to fraction form
    260,076/408,085 = 408,085/x
  3. Step 3: Cross multiply
    260,076x = 408,085 × 408,085
  4. Step 4: Simplify right side
    260,076x = 166,533,367,225
  5. Step 5: Solve for x
    x = 166,533,367,225/260,076
  6. Step 6: Final answer
    x = 640,325.78

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.