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Finding the Third Proportional to 312,023 and 670,725

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Solution

The third proportional to 312,023 and 670,725 is: 1,441,791.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,023 : 670,725 = 670,725 : x
  2. Step 2: Convert to fraction form
    312,023/670,725 = 670,725/x
  3. Step 3: Cross multiply
    312,023x = 670,725 × 670,725
  4. Step 4: Simplify right side
    312,023x = 449,872,025,625
  5. Step 5: Solve for x
    x = 449,872,025,625/312,023
  6. Step 6: Final answer
    x = 1,441,791.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.