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Finding the Third Proportional to 135,724 and 178,477

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Solution

The third proportional to 135,724 and 178,477 is: 234,697.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,724 : 178,477 = 178,477 : x
  2. Step 2: Convert to fraction form
    135,724/178,477 = 178,477/x
  3. Step 3: Cross multiply
    135,724x = 178,477 × 178,477
  4. Step 4: Simplify right side
    135,724x = 31,854,039,529
  5. Step 5: Solve for x
    x = 31,854,039,529/135,724
  6. Step 6: Final answer
    x = 234,697.18

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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.