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Finding the Third Proportional to 128,328 and 186,660

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Solution

The third proportional to 128,328 and 186,660 is: 271,507.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,328 : 186,660 = 186,660 : x
  2. Step 2: Convert to fraction form
    128,328/186,660 = 186,660/x
  3. Step 3: Cross multiply
    128,328x = 186,660 × 186,660
  4. Step 4: Simplify right side
    128,328x = 34,841,955,600
  5. Step 5: Solve for x
    x = 34,841,955,600/128,328
  6. Step 6: Final answer
    x = 271,507.04

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.