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Finding the Third Proportional to 147,000 and 318,894

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Solution

The third proportional to 147,000 and 318,894 is: 691,791.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,000 : 318,894 = 318,894 : x
  2. Step 2: Convert to fraction form
    147,000/318,894 = 318,894/x
  3. Step 3: Cross multiply
    147,000x = 318,894 × 318,894
  4. Step 4: Simplify right side
    147,000x = 101,693,383,236
  5. Step 5: Solve for x
    x = 101,693,383,236/147,000
  6. Step 6: Final answer
    x = 691,791.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.