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Finding the Third Proportional to 71,889 and 155,995

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Solution

The third proportional to 71,889 and 155,995 is: 338,500.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,889 : 155,995 = 155,995 : x
  2. Step 2: Convert to fraction form
    71,889/155,995 = 155,995/x
  3. Step 3: Cross multiply
    71,889x = 155,995 × 155,995
  4. Step 4: Simplify right side
    71,889x = 24,334,440,025
  5. Step 5: Solve for x
    x = 24,334,440,025/71,889
  6. Step 6: Final answer
    x = 338,500.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.