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Finding the Third Proportional to 200,520.56 and 417,187.34

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Solution

The third proportional to 200,520.56 and 417,187.34 is: 867,967.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,520.56 : 417,187.34 = 417,187.34 : x
  2. Step 2: Convert to fraction form
    200,520.56/417,187.34 = 417,187.34/x
  3. Step 3: Cross multiply
    200,520.56x = 417,187.34 × 417,187.34
  4. Step 4: Simplify right side
    200,520.56x = 174,045,273,266.63
  5. Step 5: Solve for x
    x = 174,045,273,266.63/200,520.56
  6. Step 6: Final answer
    x = 867,967.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.