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Finding the Third Proportional to 312,200.50 and 676,890

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Solution

The third proportional to 312,200.50 and 676,890 is: 1,467,582.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,200.50 : 676,890 = 676,890 : x
  2. Step 2: Convert to fraction form
    312,200.50/676,890 = 676,890/x
  3. Step 3: Cross multiply
    312,200.50x = 676,890 × 676,890
  4. Step 4: Simplify right side
    312,200.50x = 458,180,072,100
  5. Step 5: Solve for x
    x = 458,180,072,100/312,200.50
  6. Step 6: Final answer
    x = 1,467,582.76

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.