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Finding the Third Proportional to 400,158.56 and 610,400.81

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Solution

The third proportional to 400,158.56 and 610,400.81 is: 931,103.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,158.56 : 610,400.81 = 610,400.81 : x
  2. Step 2: Convert to fraction form
    400,158.56/610,400.81 = 610,400.81/x
  3. Step 3: Cross multiply
    400,158.56x = 610,400.81 × 610,400.81
  4. Step 4: Simplify right side
    400,158.56x = 372,589,151,900.66
  5. Step 5: Solve for x
    x = 372,589,151,900.66/400,158.56
  6. Step 6: Final answer
    x = 931,103.78

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.