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Finding the Third Proportional to 36,647 and 78,482

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Solution

The third proportional to 36,647 and 78,482 is: 168,074.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,647 : 78,482 = 78,482 : x
  2. Step 2: Convert to fraction form
    36,647/78,482 = 78,482/x
  3. Step 3: Cross multiply
    36,647x = 78,482 × 78,482
  4. Step 4: Simplify right side
    36,647x = 6,159,424,324
  5. Step 5: Solve for x
    x = 6,159,424,324/36,647
  6. Step 6: Final answer
    x = 168,074.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.