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Finding the Third Proportional to 213,986 and 286,275

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Solution

The third proportional to 213,986 and 286,275 is: 382,984.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,986 : 286,275 = 286,275 : x
  2. Step 2: Convert to fraction form
    213,986/286,275 = 286,275/x
  3. Step 3: Cross multiply
    213,986x = 286,275 × 286,275
  4. Step 4: Simplify right side
    213,986x = 81,953,375,625
  5. Step 5: Solve for x
    x = 81,953,375,625/213,986
  6. Step 6: Final answer
    x = 382,984.75

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.