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Finding the Third Proportional to 63,333 and 138,330

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Solution

The third proportional to 63,333 and 138,330 is: 302,136.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,333 : 138,330 = 138,330 : x
  2. Step 2: Convert to fraction form
    63,333/138,330 = 138,330/x
  3. Step 3: Cross multiply
    63,333x = 138,330 × 138,330
  4. Step 4: Simplify right side
    63,333x = 19,135,188,900
  5. Step 5: Solve for x
    x = 19,135,188,900/63,333
  6. Step 6: Final answer
    x = 302,136.15

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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.