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Finding the Third Proportional to 318,026.25 and 445,709.25

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Solution

The third proportional to 318,026.25 and 445,709.25 is: 624,655.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,026.25 : 445,709.25 = 445,709.25 : x
  2. Step 2: Convert to fraction form
    318,026.25/445,709.25 = 445,709.25/x
  3. Step 3: Cross multiply
    318,026.25x = 445,709.25 × 445,709.25
  4. Step 4: Simplify right side
    318,026.25x = 198,656,735,535.56
  5. Step 5: Solve for x
    x = 198,656,735,535.56/318,026.25
  6. Step 6: Final answer
    x = 624,655.15

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.