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Finding the Third Proportional to 149,812.50 and 321,859.50

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Solution

The third proportional to 149,812.50 and 321,859.50 is: 691,487.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,812.50 : 321,859.50 = 321,859.50 : x
  2. Step 2: Convert to fraction form
    149,812.50/321,859.50 = 321,859.50/x
  3. Step 3: Cross multiply
    149,812.50x = 321,859.50 × 321,859.50
  4. Step 4: Simplify right side
    149,812.50x = 103,593,537,740.25
  5. Step 5: Solve for x
    x = 103,593,537,740.25/149,812.50
  6. Step 6: Final answer
    x = 691,487.94

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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.