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Finding the Third Proportional to 211,146.75 and 318,542.63

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Solution

The third proportional to 211,146.75 and 318,542.63 is: 480,563.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,146.75 : 318,542.63 = 318,542.63 : x
  2. Step 2: Convert to fraction form
    211,146.75/318,542.63 = 318,542.63/x
  3. Step 3: Cross multiply
    211,146.75x = 318,542.63 × 318,542.63
  4. Step 4: Simplify right side
    211,146.75x = 101,469,403,941.89
  5. Step 5: Solve for x
    x = 101,469,403,941.89/211,146.75
  6. Step 6: Final answer
    x = 480,563.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.