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Finding the Third Proportional to 30,154 and 39,885

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Solution

The third proportional to 30,154 and 39,885 is: 52,756.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,154 : 39,885 = 39,885 : x
  2. Step 2: Convert to fraction form
    30,154/39,885 = 39,885/x
  3. Step 3: Cross multiply
    30,154x = 39,885 × 39,885
  4. Step 4: Simplify right side
    30,154x = 1,590,813,225
  5. Step 5: Solve for x
    x = 1,590,813,225/30,154
  6. Step 6: Final answer
    x = 52,756.29

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.