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Finding the Third Proportional to 122,128 and 193,028

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Solution

The third proportional to 122,128 and 193,028 is: 305,088.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,128 : 193,028 = 193,028 : x
  2. Step 2: Convert to fraction form
    122,128/193,028 = 193,028/x
  3. Step 3: Cross multiply
    122,128x = 193,028 × 193,028
  4. Step 4: Simplify right side
    122,128x = 37,259,808,784
  5. Step 5: Solve for x
    x = 37,259,808,784/122,128
  6. Step 6: Final answer
    x = 305,088.18

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.