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Finding the Third Proportional to 312,810 and 674,256

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Solution

The third proportional to 312,810 and 674,256 is: 1,453,345.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,810 : 674,256 = 674,256 : x
  2. Step 2: Convert to fraction form
    312,810/674,256 = 674,256/x
  3. Step 3: Cross multiply
    312,810x = 674,256 × 674,256
  4. Step 4: Simplify right side
    312,810x = 454,621,153,536
  5. Step 5: Solve for x
    x = 454,621,153,536/312,810
  6. Step 6: Final answer
    x = 1,453,345.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.