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Finding the Third Proportional to 13,710 and 20,715

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Solution

The third proportional to 13,710 and 20,715 is: 31,299.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,710 : 20,715 = 20,715 : x
  2. Step 2: Convert to fraction form
    13,710/20,715 = 20,715/x
  3. Step 3: Cross multiply
    13,710x = 20,715 × 20,715
  4. Step 4: Simplify right side
    13,710x = 429,111,225
  5. Step 5: Solve for x
    x = 429,111,225/13,710
  6. Step 6: Final answer
    x = 31,299.14

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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.