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Finding the Third Proportional to 30,489 and 40,467

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Solution

The third proportional to 30,489 and 40,467 is: 53,710.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,489 : 40,467 = 40,467 : x
  2. Step 2: Convert to fraction form
    30,489/40,467 = 40,467/x
  3. Step 3: Cross multiply
    30,489x = 40,467 × 40,467
  4. Step 4: Simplify right side
    30,489x = 1,637,578,089
  5. Step 5: Solve for x
    x = 1,637,578,089/30,489
  6. Step 6: Final answer
    x = 53,710.46

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.