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Finding the Third Proportional to 215,823 and 337,824

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Solution

The third proportional to 215,823 and 337,824 is: 528,790.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,823 : 337,824 = 337,824 : x
  2. Step 2: Convert to fraction form
    215,823/337,824 = 337,824/x
  3. Step 3: Cross multiply
    215,823x = 337,824 × 337,824
  4. Step 4: Simplify right side
    215,823x = 114,125,054,976
  5. Step 5: Solve for x
    x = 114,125,054,976/215,823
  6. Step 6: Final answer
    x = 528,790.05

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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.