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Finding the Third Proportional to 71,369 and 153,699

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Solution

The third proportional to 71,369 and 153,699 is: 331,003.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,369 : 153,699 = 153,699 : x
  2. Step 2: Convert to fraction form
    71,369/153,699 = 153,699/x
  3. Step 3: Cross multiply
    71,369x = 153,699 × 153,699
  4. Step 4: Simplify right side
    71,369x = 23,623,382,601
  5. Step 5: Solve for x
    x = 23,623,382,601/71,369
  6. Step 6: Final answer
    x = 331,003.41

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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.