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Finding the Third Proportional to 305,724.38 and 457,857.56

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Solution

The third proportional to 305,724.38 and 457,857.56 is: 685,694.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,724.38 : 457,857.56 = 457,857.56 : x
  2. Step 2: Convert to fraction form
    305,724.38/457,857.56 = 457,857.56/x
  3. Step 3: Cross multiply
    305,724.38x = 457,857.56 × 457,857.56
  4. Step 4: Simplify right side
    305,724.38x = 209,633,547,538.44
  5. Step 5: Solve for x
    x = 209,633,547,538.44/305,724.38
  6. Step 6: Final answer
    x = 685,694.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.