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Finding the Third Proportional to 149,674.50 and 220,134.38

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Solution

The third proportional to 149,674.50 and 220,134.38 is: 323,763.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,674.50 : 220,134.38 = 220,134.38 : x
  2. Step 2: Convert to fraction form
    149,674.50/220,134.38 = 220,134.38/x
  3. Step 3: Cross multiply
    149,674.50x = 220,134.38 × 220,134.38
  4. Step 4: Simplify right side
    149,674.50x = 48,459,143,056.64
  5. Step 5: Solve for x
    x = 48,459,143,056.64/149,674.50
  6. Step 6: Final answer
    x = 323,763.52

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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.