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Finding the Third Proportional to 115,728 and 180,358

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Solution

The third proportional to 115,728 and 180,358 is: 281,081.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,728 : 180,358 = 180,358 : x
  2. Step 2: Convert to fraction form
    115,728/180,358 = 180,358/x
  3. Step 3: Cross multiply
    115,728x = 180,358 × 180,358
  4. Step 4: Simplify right side
    115,728x = 32,529,008,164
  5. Step 5: Solve for x
    x = 32,529,008,164/115,728
  6. Step 6: Final answer
    x = 281,081.57

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.