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Finding the Third Proportional to 448,785.56 and 960,614.44

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Solution

The third proportional to 448,785.56 and 960,614.44 is: 2,056,171.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,785.56 : 960,614.44 = 960,614.44 : x
  2. Step 2: Convert to fraction form
    448,785.56/960,614.44 = 960,614.44/x
  3. Step 3: Cross multiply
    448,785.56x = 960,614.44 × 960,614.44
  4. Step 4: Simplify right side
    448,785.56x = 922,780,097,533.44
  5. Step 5: Solve for x
    x = 922,780,097,533.44/448,785.56
  6. Step 6: Final answer
    x = 2,056,171.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.