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Finding the Third Proportional to 19,200 and 40,320

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Solution

The third proportional to 19,200 and 40,320 is: 84,672

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,200 : 40,320 = 40,320 : x
  2. Step 2: Convert to fraction form
    19,200/40,320 = 40,320/x
  3. Step 3: Cross multiply
    19,200x = 40,320 × 40,320
  4. Step 4: Simplify right side
    19,200x = 1,625,702,400
  5. Step 5: Solve for x
    x = 1,625,702,400/19,200
  6. Step 6: Final answer
    x = 84,672

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.