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Finding the Third Proportional to 30,759 and 39,304

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Solution

The third proportional to 30,759 and 39,304 is: 50,222.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,759 : 39,304 = 39,304 : x
  2. Step 2: Convert to fraction form
    30,759/39,304 = 39,304/x
  3. Step 3: Cross multiply
    30,759x = 39,304 × 39,304
  4. Step 4: Simplify right side
    30,759x = 1,544,804,416
  5. Step 5: Solve for x
    x = 1,544,804,416/30,759
  6. Step 6: Final answer
    x = 50,222.84

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.