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Finding the Third Proportional to 149,674.50 and 220,129.88

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Solution

The third proportional to 149,674.50 and 220,129.88 is: 323,750.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,674.50 : 220,129.88 = 220,129.88 : x
  2. Step 2: Convert to fraction form
    149,674.50/220,129.88 = 220,129.88/x
  3. Step 3: Cross multiply
    149,674.50x = 220,129.88 × 220,129.88
  4. Step 4: Simplify right side
    149,674.50x = 48,457,161,867.52
  5. Step 5: Solve for x
    x = 48,457,161,867.52/149,674.50
  6. Step 6: Final answer
    x = 323,750.28

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.