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Finding the Third Proportional to 115,290 and 178,128

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Solution

The third proportional to 115,290 and 178,128 is: 275,215.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,290 : 178,128 = 178,128 : x
  2. Step 2: Convert to fraction form
    115,290/178,128 = 178,128/x
  3. Step 3: Cross multiply
    115,290x = 178,128 × 178,128
  4. Step 4: Simplify right side
    115,290x = 31,729,584,384
  5. Step 5: Solve for x
    x = 31,729,584,384/115,290
  6. Step 6: Final answer
    x = 275,215.41

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.