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Finding the Third Proportional to 71,697 and 151,935

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Solution

The third proportional to 71,697 and 151,935 is: 321,969.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,697 : 151,935 = 151,935 : x
  2. Step 2: Convert to fraction form
    71,697/151,935 = 151,935/x
  3. Step 3: Cross multiply
    71,697x = 151,935 × 151,935
  4. Step 4: Simplify right side
    71,697x = 23,084,244,225
  5. Step 5: Solve for x
    x = 23,084,244,225/71,697
  6. Step 6: Final answer
    x = 321,969.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.