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Finding the Third Proportional to 305,911.13 and 340,356.38

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Solution

The third proportional to 305,911.13 and 340,356.38 is: 378,680.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,911.13 : 340,356.38 = 340,356.38 : x
  2. Step 2: Convert to fraction form
    305,911.13/340,356.38 = 340,356.38/x
  3. Step 3: Cross multiply
    305,911.13x = 340,356.38 × 340,356.38
  4. Step 4: Simplify right side
    305,911.13x = 115,842,462,003.14
  5. Step 5: Solve for x
    x = 115,842,462,003.14/305,911.13
  6. Step 6: Final answer
    x = 378,680.12

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.