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Finding the Third Proportional to 13,715 and 30,283

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Solution

The third proportional to 13,715 and 30,283 is: 66,865.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,715 : 30,283 = 30,283 : x
  2. Step 2: Convert to fraction form
    13,715/30,283 = 30,283/x
  3. Step 3: Cross multiply
    13,715x = 30,283 × 30,283
  4. Step 4: Simplify right side
    13,715x = 917,060,089
  5. Step 5: Solve for x
    x = 917,060,089/13,715
  6. Step 6: Final answer
    x = 66,865.48

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.