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Finding the Third Proportional to 144,227 and 305,077

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Solution

The third proportional to 144,227 and 305,077 is: 645,315.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,227 : 305,077 = 305,077 : x
  2. Step 2: Convert to fraction form
    144,227/305,077 = 305,077/x
  3. Step 3: Cross multiply
    144,227x = 305,077 × 305,077
  4. Step 4: Simplify right side
    144,227x = 93,071,975,929
  5. Step 5: Solve for x
    x = 93,071,975,929/144,227
  6. Step 6: Final answer
    x = 645,315.90

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.