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Finding the Third Proportional to 269,183 and 392,089

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Solution

The third proportional to 269,183 and 392,089 is: 571,112.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,183 : 392,089 = 392,089 : x
  2. Step 2: Convert to fraction form
    269,183/392,089 = 392,089/x
  3. Step 3: Cross multiply
    269,183x = 392,089 × 392,089
  4. Step 4: Simplify right side
    269,183x = 153,733,783,921
  5. Step 5: Solve for x
    x = 153,733,783,921/269,183
  6. Step 6: Final answer
    x = 571,112.53

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.