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Finding the Third Proportional to 395,649.56 and 613,020.66

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Solution

The third proportional to 395,649.56 and 613,020.66 is: 949,816.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,649.56 : 613,020.66 = 613,020.66 : x
  2. Step 2: Convert to fraction form
    395,649.56/613,020.66 = 613,020.66/x
  3. Step 3: Cross multiply
    395,649.56x = 613,020.66 × 613,020.66
  4. Step 4: Simplify right side
    395,649.56x = 375,794,324,989.18
  5. Step 5: Solve for x
    x = 375,794,324,989.18/395,649.56
  6. Step 6: Final answer
    x = 949,816.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.