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Finding the Third Proportional to 202,813.88 and 318,140.44

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Solution

The third proportional to 202,813.88 and 318,140.44 is: 499,045.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,813.88 : 318,140.44 = 318,140.44 : x
  2. Step 2: Convert to fraction form
    202,813.88/318,140.44 = 318,140.44/x
  3. Step 3: Cross multiply
    202,813.88x = 318,140.44 × 318,140.44
  4. Step 4: Simplify right side
    202,813.88x = 101,213,337,972.69
  5. Step 5: Solve for x
    x = 101,213,337,972.69/202,813.88
  6. Step 6: Final answer
    x = 499,045.43

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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.