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Finding the Third Proportional to 71,388 and 153,738

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Solution

The third proportional to 71,388 and 153,738 is: 331,083.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,388 : 153,738 = 153,738 : x
  2. Step 2: Convert to fraction form
    71,388/153,738 = 153,738/x
  3. Step 3: Cross multiply
    71,388x = 153,738 × 153,738
  4. Step 4: Simplify right side
    71,388x = 23,635,372,644
  5. Step 5: Solve for x
    x = 23,635,372,644/71,388
  6. Step 6: Final answer
    x = 331,083.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.