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Finding the Third Proportional to 200,424 and 417,433

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Solution

The third proportional to 200,424 and 417,433 is: 869,408.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,424 : 417,433 = 417,433 : x
  2. Step 2: Convert to fraction form
    200,424/417,433 = 417,433/x
  3. Step 3: Cross multiply
    200,424x = 417,433 × 417,433
  4. Step 4: Simplify right side
    200,424x = 174,250,309,489
  5. Step 5: Solve for x
    x = 174,250,309,489/200,424
  6. Step 6: Final answer
    x = 869,408.40

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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.