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Finding the Third Proportional to 211,137.38 and 439,747.88

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Solution

The third proportional to 211,137.38 and 439,747.88 is: 915,888.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,137.38 : 439,747.88 = 439,747.88 : x
  2. Step 2: Convert to fraction form
    211,137.38/439,747.88 = 439,747.88/x
  3. Step 3: Cross multiply
    211,137.38x = 439,747.88 × 439,747.88
  4. Step 4: Simplify right side
    211,137.38x = 193,378,193,567.02
  5. Step 5: Solve for x
    x = 193,378,193,567.02/211,137.38
  6. Step 6: Final answer
    x = 915,888.03

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.