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Finding the Third Proportional to 147,080 and 311,494

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Solution

The third proportional to 147,080 and 311,494 is: 659,698.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,080 : 311,494 = 311,494 : x
  2. Step 2: Convert to fraction form
    147,080/311,494 = 311,494/x
  3. Step 3: Cross multiply
    147,080x = 311,494 × 311,494
  4. Step 4: Simplify right side
    147,080x = 97,028,512,036
  5. Step 5: Solve for x
    x = 97,028,512,036/147,080
  6. Step 6: Final answer
    x = 659,698.89

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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.