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Finding the Third Proportional to 149,912 and 321,080

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Solution

The third proportional to 149,912 and 321,080 is: 687,685.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,912 : 321,080 = 321,080 : x
  2. Step 2: Convert to fraction form
    149,912/321,080 = 321,080/x
  3. Step 3: Cross multiply
    149,912x = 321,080 × 321,080
  4. Step 4: Simplify right side
    149,912x = 103,092,366,400
  5. Step 5: Solve for x
    x = 103,092,366,400/149,912
  6. Step 6: Final answer
    x = 687,685.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.