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Finding the Third Proportional to 149,830 and 321,894

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Solution

The third proportional to 149,830 and 321,894 is: 691,555.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,830 : 321,894 = 321,894 : x
  2. Step 2: Convert to fraction form
    149,830/321,894 = 321,894/x
  3. Step 3: Cross multiply
    149,830x = 321,894 × 321,894
  4. Step 4: Simplify right side
    149,830x = 103,615,747,236
  5. Step 5: Solve for x
    x = 103,615,747,236/149,830
  6. Step 6: Final answer
    x = 691,555.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.