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Finding the Third Proportional to 39,825 and 87,297

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Solution

The third proportional to 39,825 and 87,297 is: 191,356.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,825 : 87,297 = 87,297 : x
  2. Step 2: Convert to fraction form
    39,825/87,297 = 87,297/x
  3. Step 3: Cross multiply
    39,825x = 87,297 × 87,297
  4. Step 4: Simplify right side
    39,825x = 7,620,766,209
  5. Step 5: Solve for x
    x = 7,620,766,209/39,825
  6. Step 6: Final answer
    x = 191,356.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.