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Finding the Third Proportional to 149,670 and 220,126

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Solution

The third proportional to 149,670 and 220,126 is: 323,748.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,670 : 220,126 = 220,126 : x
  2. Step 2: Convert to fraction form
    149,670/220,126 = 220,126/x
  3. Step 3: Cross multiply
    149,670x = 220,126 × 220,126
  4. Step 4: Simplify right side
    149,670x = 48,455,455,876
  5. Step 5: Solve for x
    x = 48,455,455,876/149,670
  6. Step 6: Final answer
    x = 323,748.62

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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.