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Finding the Third Proportional to 30,489 and 64,299

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Solution

The third proportional to 30,489 and 64,299 is: 135,601.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,489 : 64,299 = 64,299 : x
  2. Step 2: Convert to fraction form
    30,489/64,299 = 64,299/x
  3. Step 3: Cross multiply
    30,489x = 64,299 × 64,299
  4. Step 4: Simplify right side
    30,489x = 4,134,361,401
  5. Step 5: Solve for x
    x = 4,134,361,401/30,489
  6. Step 6: Final answer
    x = 135,601.74

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.