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Finding the Third Proportional to 147,165 and 311,861

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Solution

The third proportional to 147,165 and 311,861 is: 660,872.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,165 : 311,861 = 311,861 : x
  2. Step 2: Convert to fraction form
    147,165/311,861 = 311,861/x
  3. Step 3: Cross multiply
    147,165x = 311,861 × 311,861
  4. Step 4: Simplify right side
    147,165x = 97,257,283,321
  5. Step 5: Solve for x
    x = 97,257,283,321/147,165
  6. Step 6: Final answer
    x = 660,872.38

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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.