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Finding the Third Proportional to 645,399.56 and 949,311.56

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Solution

The third proportional to 645,399.56 and 949,311.56 is: 1,396,332.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,399.56 : 949,311.56 = 949,311.56 : x
  2. Step 2: Convert to fraction form
    645,399.56/949,311.56 = 949,311.56/x
  3. Step 3: Cross multiply
    645,399.56x = 949,311.56 × 949,311.56
  4. Step 4: Simplify right side
    645,399.56x = 901,192,442,696.19
  5. Step 5: Solve for x
    x = 901,192,442,696.19/645,399.56
  6. Step 6: Final answer
    x = 1,396,332.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.