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Finding the Third Proportional to 311,157.28 and 469,597.92

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Solution

The third proportional to 311,157.28 and 469,597.92 is: 708,716.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,157.28 : 469,597.92 = 469,597.92 : x
  2. Step 2: Convert to fraction form
    311,157.28/469,597.92 = 469,597.92/x
  3. Step 3: Cross multiply
    311,157.28x = 469,597.92 × 469,597.92
  4. Step 4: Simplify right side
    311,157.28x = 220,522,208,229.32
  5. Step 5: Solve for x
    x = 220,522,208,229.32/311,157.28
  6. Step 6: Final answer
    x = 708,716.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.