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Finding the Third Proportional to 270,450 and 424,242

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Solution

The third proportional to 270,450 and 424,242 is: 665,488.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,450 : 424,242 = 424,242 : x
  2. Step 2: Convert to fraction form
    270,450/424,242 = 424,242/x
  3. Step 3: Cross multiply
    270,450x = 424,242 × 424,242
  4. Step 4: Simplify right side
    270,450x = 179,981,274,564
  5. Step 5: Solve for x
    x = 179,981,274,564/270,450
  6. Step 6: Final answer
    x = 665,488.17

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.