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Finding the Third Proportional to 275,742.56 and 379,712.81

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Solution

The third proportional to 275,742.56 and 379,712.81 is: 522,885.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,742.56 : 379,712.81 = 379,712.81 : x
  2. Step 2: Convert to fraction form
    275,742.56/379,712.81 = 379,712.81/x
  3. Step 3: Cross multiply
    275,742.56x = 379,712.81 × 379,712.81
  4. Step 4: Simplify right side
    275,742.56x = 144,181,819,976.66
  5. Step 5: Solve for x
    x = 144,181,819,976.66/275,742.56
  6. Step 6: Final answer
    x = 522,885.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.