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Finding the Third Proportional to 81,128 and 174,328

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Solution

The third proportional to 81,128 and 174,328 is: 374,596.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,128 : 174,328 = 174,328 : x
  2. Step 2: Convert to fraction form
    81,128/174,328 = 174,328/x
  3. Step 3: Cross multiply
    81,128x = 174,328 × 174,328
  4. Step 4: Simplify right side
    81,128x = 30,390,251,584
  5. Step 5: Solve for x
    x = 30,390,251,584/81,128
  6. Step 6: Final answer
    x = 374,596.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.