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Finding the Third Proportional to 445,533.75 and 638,455.50

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Solution

The third proportional to 445,533.75 and 638,455.50 is: 914,914.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,533.75 : 638,455.50 = 638,455.50 : x
  2. Step 2: Convert to fraction form
    445,533.75/638,455.50 = 638,455.50/x
  3. Step 3: Cross multiply
    445,533.75x = 638,455.50 × 638,455.50
  4. Step 4: Simplify right side
    445,533.75x = 407,625,425,480.25
  5. Step 5: Solve for x
    x = 407,625,425,480.25/445,533.75
  6. Step 6: Final answer
    x = 914,914.81

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.