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Finding the Third Proportional to 69,560 and 149,992

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Solution

The third proportional to 69,560 and 149,992 is: 323,427.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,560 : 149,992 = 149,992 : x
  2. Step 2: Convert to fraction form
    69,560/149,992 = 149,992/x
  3. Step 3: Cross multiply
    69,560x = 149,992 × 149,992
  4. Step 4: Simplify right side
    69,560x = 22,497,600,064
  5. Step 5: Solve for x
    x = 22,497,600,064/69,560
  6. Step 6: Final answer
    x = 323,427.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.