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Finding the Third Proportional to 200,424.38 and 417,433.50

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Solution

The third proportional to 200,424.38 and 417,433.50 is: 869,408.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,424.38 : 417,433.50 = 417,433.50 : x
  2. Step 2: Convert to fraction form
    200,424.38/417,433.50 = 417,433.50/x
  3. Step 3: Cross multiply
    200,424.38x = 417,433.50 × 417,433.50
  4. Step 4: Simplify right side
    200,424.38x = 174,250,726,922.25
  5. Step 5: Solve for x
    x = 174,250,726,922.25/200,424.38
  6. Step 6: Final answer
    x = 869,408.86

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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.