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Finding the Third Proportional to 200,422 and 417,429

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Solution

The third proportional to 200,422 and 417,429 is: 869,400.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,422 : 417,429 = 417,429 : x
  2. Step 2: Convert to fraction form
    200,422/417,429 = 417,429/x
  3. Step 3: Cross multiply
    200,422x = 417,429 × 417,429
  4. Step 4: Simplify right side
    200,422x = 174,246,970,041
  5. Step 5: Solve for x
    x = 174,246,970,041/200,422
  6. Step 6: Final answer
    x = 869,400.42

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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.