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Finding the Third Proportional to 269,440.75 and 392,314.75

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Solution

The third proportional to 269,440.75 and 392,314.75 is: 571,223.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,440.75 : 392,314.75 = 392,314.75 : x
  2. Step 2: Convert to fraction form
    269,440.75/392,314.75 = 392,314.75/x
  3. Step 3: Cross multiply
    269,440.75x = 392,314.75 × 392,314.75
  4. Step 4: Simplify right side
    269,440.75x = 153,910,863,067.56
  5. Step 5: Solve for x
    x = 153,910,863,067.56/269,440.75
  6. Step 6: Final answer
    x = 571,223.41

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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.