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Finding the Third Proportional to 200,056.50 and 472,245.75

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Solution

The third proportional to 200,056.50 and 472,245.75 is: 1,114,765.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,056.50 : 472,245.75 = 472,245.75 : x
  2. Step 2: Convert to fraction form
    200,056.50/472,245.75 = 472,245.75/x
  3. Step 3: Cross multiply
    200,056.50x = 472,245.75 × 472,245.75
  4. Step 4: Simplify right side
    200,056.50x = 223,016,048,393.06
  5. Step 5: Solve for x
    x = 223,016,048,393.06/200,056.50
  6. Step 6: Final answer
    x = 1,114,765.32

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.