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Finding the Third Proportional to 139,986 and 297,252

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Solution

The third proportional to 139,986 and 297,252 is: 631,197.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,986 : 297,252 = 297,252 : x
  2. Step 2: Convert to fraction form
    139,986/297,252 = 297,252/x
  3. Step 3: Cross multiply
    139,986x = 297,252 × 297,252
  4. Step 4: Simplify right side
    139,986x = 88,358,751,504
  5. Step 5: Solve for x
    x = 88,358,751,504/139,986
  6. Step 6: Final answer
    x = 631,197.06

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.