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Finding the Third Proportional to 148,180 and 214,206

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Solution

The third proportional to 148,180 and 214,206 is: 309,651.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,180 : 214,206 = 214,206 : x
  2. Step 2: Convert to fraction form
    148,180/214,206 = 214,206/x
  3. Step 3: Cross multiply
    148,180x = 214,206 × 214,206
  4. Step 4: Simplify right side
    148,180x = 45,884,210,436
  5. Step 5: Solve for x
    x = 45,884,210,436/148,180
  6. Step 6: Final answer
    x = 309,651.85

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.