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Finding the Third Proportional to 128,696 and 193,989

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Solution

The third proportional to 128,696 and 193,989 is: 292,407.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,696 : 193,989 = 193,989 : x
  2. Step 2: Convert to fraction form
    128,696/193,989 = 193,989/x
  3. Step 3: Cross multiply
    128,696x = 193,989 × 193,989
  4. Step 4: Simplify right side
    128,696x = 37,631,732,121
  5. Step 5: Solve for x
    x = 37,631,732,121/128,696
  6. Step 6: Final answer
    x = 292,407.94

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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.