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Finding the Third Proportional to 312,105 and 457,041

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Solution

The third proportional to 312,105 and 457,041 is: 669,282.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,105 : 457,041 = 457,041 : x
  2. Step 2: Convert to fraction form
    312,105/457,041 = 457,041/x
  3. Step 3: Cross multiply
    312,105x = 457,041 × 457,041
  4. Step 4: Simplify right side
    312,105x = 208,886,475,681
  5. Step 5: Solve for x
    x = 208,886,475,681/312,105
  6. Step 6: Final answer
    x = 669,282.70

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.