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Finding the Third Proportional to 13,507 and 20,447

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Solution

The third proportional to 13,507 and 20,447 is: 30,952.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,507 : 20,447 = 20,447 : x
  2. Step 2: Convert to fraction form
    13,507/20,447 = 20,447/x
  3. Step 3: Cross multiply
    13,507x = 20,447 × 20,447
  4. Step 4: Simplify right side
    13,507x = 418,079,809
  5. Step 5: Solve for x
    x = 418,079,809/13,507
  6. Step 6: Final answer
    x = 30,952.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.