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Finding the Third Proportional to 131,824 and 310,811

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Solution

The third proportional to 131,824 and 310,811 is: 732,821.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,824 : 310,811 = 310,811 : x
  2. Step 2: Convert to fraction form
    131,824/310,811 = 310,811/x
  3. Step 3: Cross multiply
    131,824x = 310,811 × 310,811
  4. Step 4: Simplify right side
    131,824x = 96,603,477,721
  5. Step 5: Solve for x
    x = 96,603,477,721/131,824
  6. Step 6: Final answer
    x = 732,821.62

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.