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Finding the Third Proportional to 61,431 and 133,980

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Solution

The third proportional to 61,431 and 133,980 is: 292,208.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,431 : 133,980 = 133,980 : x
  2. Step 2: Convert to fraction form
    61,431/133,980 = 133,980/x
  3. Step 3: Cross multiply
    61,431x = 133,980 × 133,980
  4. Step 4: Simplify right side
    61,431x = 17,950,640,400
  5. Step 5: Solve for x
    x = 17,950,640,400/61,431
  6. Step 6: Final answer
    x = 292,208.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.