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Finding the Third Proportional to 306,186.75 and 656,640

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Solution

The third proportional to 306,186.75 and 656,640 is: 1,408,212.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,186.75 : 656,640 = 656,640 : x
  2. Step 2: Convert to fraction form
    306,186.75/656,640 = 656,640/x
  3. Step 3: Cross multiply
    306,186.75x = 656,640 × 656,640
  4. Step 4: Simplify right side
    306,186.75x = 431,176,089,600
  5. Step 5: Solve for x
    x = 431,176,089,600/306,186.75
  6. Step 6: Final answer
    x = 1,408,212.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.