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Finding the Third Proportional to 147,052 and 311,436

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Solution

The third proportional to 147,052 and 311,436 is: 659,578.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,052 : 311,436 = 311,436 : x
  2. Step 2: Convert to fraction form
    147,052/311,436 = 311,436/x
  3. Step 3: Cross multiply
    147,052x = 311,436 × 311,436
  4. Step 4: Simplify right side
    147,052x = 96,992,382,096
  5. Step 5: Solve for x
    x = 96,992,382,096/147,052
  6. Step 6: Final answer
    x = 659,578.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.