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Finding the Third Proportional to 204,827 and 417,789

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Solution

The third proportional to 204,827 and 417,789 is: 852,171.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,827 : 417,789 = 417,789 : x
  2. Step 2: Convert to fraction form
    204,827/417,789 = 417,789/x
  3. Step 3: Cross multiply
    204,827x = 417,789 × 417,789
  4. Step 4: Simplify right side
    204,827x = 174,547,648,521
  5. Step 5: Solve for x
    x = 174,547,648,521/204,827
  6. Step 6: Final answer
    x = 852,171.09

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.