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Finding the Third Proportional to 135,753 and 178,515

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Solution

The third proportional to 135,753 and 178,515 is: 234,746.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,753 : 178,515 = 178,515 : x
  2. Step 2: Convert to fraction form
    135,753/178,515 = 178,515/x
  3. Step 3: Cross multiply
    135,753x = 178,515 × 178,515
  4. Step 4: Simplify right side
    135,753x = 31,867,605,225
  5. Step 5: Solve for x
    x = 31,867,605,225/135,753
  6. Step 6: Final answer
    x = 234,746.97

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.