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Finding the Third Proportional to 14,324 and 21,420

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Solution

The third proportional to 14,324 and 21,420 is: 32,031.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,324 : 21,420 = 21,420 : x
  2. Step 2: Convert to fraction form
    14,324/21,420 = 21,420/x
  3. Step 3: Cross multiply
    14,324x = 21,420 × 21,420
  4. Step 4: Simplify right side
    14,324x = 458,816,400
  5. Step 5: Solve for x
    x = 458,816,400/14,324
  6. Step 6: Final answer
    x = 32,031.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.