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Finding the Third Proportional to 202,804 and 318,125

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Solution

The third proportional to 202,804 and 318,125 is: 499,021.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,804 : 318,125 = 318,125 : x
  2. Step 2: Convert to fraction form
    202,804/318,125 = 318,125/x
  3. Step 3: Cross multiply
    202,804x = 318,125 × 318,125
  4. Step 4: Simplify right side
    202,804x = 101,203,515,625
  5. Step 5: Solve for x
    x = 101,203,515,625/202,804
  6. Step 6: Final answer
    x = 499,021.30

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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.