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Finding the Third Proportional to 69,140 and 151,728

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Solution

The third proportional to 69,140 and 151,728 is: 332,967.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,140 : 151,728 = 151,728 : x
  2. Step 2: Convert to fraction form
    69,140/151,728 = 151,728/x
  3. Step 3: Cross multiply
    69,140x = 151,728 × 151,728
  4. Step 4: Simplify right side
    69,140x = 23,021,385,984
  5. Step 5: Solve for x
    x = 23,021,385,984/69,140
  6. Step 6: Final answer
    x = 332,967.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.