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Finding the Third Proportional to 260,071 and 408,077

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Solution

The third proportional to 260,071 and 408,077 is: 640,312.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,071 : 408,077 = 408,077 : x
  2. Step 2: Convert to fraction form
    260,071/408,077 = 408,077/x
  3. Step 3: Cross multiply
    260,071x = 408,077 × 408,077
  4. Step 4: Simplify right side
    260,071x = 166,526,837,929
  5. Step 5: Solve for x
    x = 166,526,837,929/260,071
  6. Step 6: Final answer
    x = 640,312.98

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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.