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Finding the Third Proportional to 117,580 and 177,431

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Solution

The third proportional to 117,580 and 177,431 is: 267,747.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,580 : 177,431 = 177,431 : x
  2. Step 2: Convert to fraction form
    117,580/177,431 = 177,431/x
  3. Step 3: Cross multiply
    117,580x = 177,431 × 177,431
  4. Step 4: Simplify right side
    117,580x = 31,481,759,761
  5. Step 5: Solve for x
    x = 31,481,759,761/117,580
  6. Step 6: Final answer
    x = 267,747.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.