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Finding the Third Proportional to 128,829 and 178,013

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Solution

The third proportional to 128,829 and 178,013 is: 245,974.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,829 : 178,013 = 178,013 : x
  2. Step 2: Convert to fraction form
    128,829/178,013 = 178,013/x
  3. Step 3: Cross multiply
    128,829x = 178,013 × 178,013
  4. Step 4: Simplify right side
    128,829x = 31,688,628,169
  5. Step 5: Solve for x
    x = 31,688,628,169/128,829
  6. Step 6: Final answer
    x = 245,974.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.