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Finding the Third Proportional to 128,025 and 193,806

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Solution

The third proportional to 128,025 and 193,806 is: 293,386.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,025 : 193,806 = 193,806 : x
  2. Step 2: Convert to fraction form
    128,025/193,806 = 193,806/x
  3. Step 3: Cross multiply
    128,025x = 193,806 × 193,806
  4. Step 4: Simplify right side
    128,025x = 37,560,765,636
  5. Step 5: Solve for x
    x = 37,560,765,636/128,025
  6. Step 6: Final answer
    x = 293,386.18

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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.