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Finding the Third Proportional to 63,333 and 138,329

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Solution

The third proportional to 63,333 and 138,329 is: 302,131.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,333 : 138,329 = 138,329 : x
  2. Step 2: Convert to fraction form
    63,333/138,329 = 138,329/x
  3. Step 3: Cross multiply
    63,333x = 138,329 × 138,329
  4. Step 4: Simplify right side
    63,333x = 19,134,912,241
  5. Step 5: Solve for x
    x = 19,134,912,241/63,333
  6. Step 6: Final answer
    x = 302,131.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.