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Finding the Third Proportional to 200,426 and 417,436

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Solution

The third proportional to 200,426 and 417,436 is: 869,412.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,426 : 417,436 = 417,436 : x
  2. Step 2: Convert to fraction form
    200,426/417,436 = 417,436/x
  3. Step 3: Cross multiply
    200,426x = 417,436 × 417,436
  4. Step 4: Simplify right side
    200,426x = 174,252,814,096
  5. Step 5: Solve for x
    x = 174,252,814,096/200,426
  6. Step 6: Final answer
    x = 869,412.22

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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.