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Finding the Third Proportional to 312,698.29 and 682,744.45

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Solution

The third proportional to 312,698.29 and 682,744.45 is: 1,490,702.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,698.29 : 682,744.45 = 682,744.45 : x
  2. Step 2: Convert to fraction form
    312,698.29/682,744.45 = 682,744.45/x
  3. Step 3: Cross multiply
    312,698.29x = 682,744.45 × 682,744.45
  4. Step 4: Simplify right side
    312,698.29x = 466,139,986,272.82
  5. Step 5: Solve for x
    x = 466,139,986,272.82/312,698.29
  6. Step 6: Final answer
    x = 1,490,702.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.