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Finding the Third Proportional to 170,214 and 269,401

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Solution

The third proportional to 170,214 and 269,401 is: 426,386.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,214 : 269,401 = 269,401 : x
  2. Step 2: Convert to fraction form
    170,214/269,401 = 269,401/x
  3. Step 3: Cross multiply
    170,214x = 269,401 × 269,401
  4. Step 4: Simplify right side
    170,214x = 72,576,898,801
  5. Step 5: Solve for x
    x = 72,576,898,801/170,214
  6. Step 6: Final answer
    x = 426,386.19

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.