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Finding the Third Proportional to 61,697 and 133,965

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Solution

The third proportional to 61,697 and 133,965 is: 290,883.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,697 : 133,965 = 133,965 : x
  2. Step 2: Convert to fraction form
    61,697/133,965 = 133,965/x
  3. Step 3: Cross multiply
    61,697x = 133,965 × 133,965
  4. Step 4: Simplify right side
    61,697x = 17,946,621,225
  5. Step 5: Solve for x
    x = 17,946,621,225/61,697
  6. Step 6: Final answer
    x = 290,883.21

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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.