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Finding the Third Proportional to 127,750 and 193,406

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Solution

The third proportional to 127,750 and 193,406 is: 292,805.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,750 : 193,406 = 193,406 : x
  2. Step 2: Convert to fraction form
    127,750/193,406 = 193,406/x
  3. Step 3: Cross multiply
    127,750x = 193,406 × 193,406
  4. Step 4: Simplify right side
    127,750x = 37,405,880,836
  5. Step 5: Solve for x
    x = 37,405,880,836/127,750
  6. Step 6: Final answer
    x = 292,805.33

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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.