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Finding the Third Proportional to 149,888.25 and 321,143.25

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Solution

The third proportional to 149,888.25 and 321,143.25 is: 688,065.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,888.25 : 321,143.25 = 321,143.25 : x
  2. Step 2: Convert to fraction form
    149,888.25/321,143.25 = 321,143.25/x
  3. Step 3: Cross multiply
    149,888.25x = 321,143.25 × 321,143.25
  4. Step 4: Simplify right side
    149,888.25x = 103,132,987,020.56
  5. Step 5: Solve for x
    x = 103,132,987,020.56/149,888.25
  6. Step 6: Final answer
    x = 688,065.86

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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.