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Finding the Third Proportional to 229,586 and 307,911

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Solution

The third proportional to 229,586 and 307,911 is: 412,957.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,586 : 307,911 = 307,911 : x
  2. Step 2: Convert to fraction form
    229,586/307,911 = 307,911/x
  3. Step 3: Cross multiply
    229,586x = 307,911 × 307,911
  4. Step 4: Simplify right side
    229,586x = 94,809,183,921
  5. Step 5: Solve for x
    x = 94,809,183,921/229,586
  6. Step 6: Final answer
    x = 412,957.17

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.