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Finding the Third Proportional to 13,970 and 30,400

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Solution

The third proportional to 13,970 and 30,400 is: 66,153.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,970 : 30,400 = 30,400 : x
  2. Step 2: Convert to fraction form
    13,970/30,400 = 30,400/x
  3. Step 3: Cross multiply
    13,970x = 30,400 × 30,400
  4. Step 4: Simplify right side
    13,970x = 924,160,000
  5. Step 5: Solve for x
    x = 924,160,000/13,970
  6. Step 6: Final answer
    x = 66,153.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.