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Finding the Third Proportional to 30,717 and 64,529

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Solution

The third proportional to 30,717 and 64,529 is: 135,559.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,717 : 64,529 = 64,529 : x
  2. Step 2: Convert to fraction form
    30,717/64,529 = 64,529/x
  3. Step 3: Cross multiply
    30,717x = 64,529 × 64,529
  4. Step 4: Simplify right side
    30,717x = 4,163,991,841
  5. Step 5: Solve for x
    x = 4,163,991,841/30,717
  6. Step 6: Final answer
    x = 135,559.85

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.