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Finding the Third Proportional to 260,073 and 408,080.25

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Solution

The third proportional to 260,073 and 408,080.25 is: 640,318.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,073 : 408,080.25 = 408,080.25 : x
  2. Step 2: Convert to fraction form
    260,073/408,080.25 = 408,080.25/x
  3. Step 3: Cross multiply
    260,073x = 408,080.25 × 408,080.25
  4. Step 4: Simplify right side
    260,073x = 166,529,490,440.06
  5. Step 5: Solve for x
    x = 166,529,490,440.06/260,073
  6. Step 6: Final answer
    x = 640,318.26

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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.