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Finding the Third Proportional to 69,144 and 97,824

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Solution

The third proportional to 69,144 and 97,824 is: 138,400.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,144 : 97,824 = 97,824 : x
  2. Step 2: Convert to fraction form
    69,144/97,824 = 97,824/x
  3. Step 3: Cross multiply
    69,144x = 97,824 × 97,824
  4. Step 4: Simplify right side
    69,144x = 9,569,534,976
  5. Step 5: Solve for x
    x = 9,569,534,976/69,144
  6. Step 6: Final answer
    x = 138,400.08

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.