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Finding the Third Proportional to 14,284 and 30,420

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Solution

The third proportional to 14,284 and 30,420 is: 64,784.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,284 : 30,420 = 30,420 : x
  2. Step 2: Convert to fraction form
    14,284/30,420 = 30,420/x
  3. Step 3: Cross multiply
    14,284x = 30,420 × 30,420
  4. Step 4: Simplify right side
    14,284x = 925,376,400
  5. Step 5: Solve for x
    x = 925,376,400/14,284
  6. Step 6: Final answer
    x = 64,784.12

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.