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Finding the Third Proportional to 312,720 and 609,884

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Solution

The third proportional to 312,720 and 609,884 is: 1,189,429.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,720 : 609,884 = 609,884 : x
  2. Step 2: Convert to fraction form
    312,720/609,884 = 609,884/x
  3. Step 3: Cross multiply
    312,720x = 609,884 × 609,884
  4. Step 4: Simplify right side
    312,720x = 371,958,493,456
  5. Step 5: Solve for x
    x = 371,958,493,456/312,720
  6. Step 6: Final answer
    x = 1,189,429.82

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.