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Finding the Third Proportional to 12,840 and 19,875

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Solution

The third proportional to 12,840 and 19,875 is: 30,764.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,840 : 19,875 = 19,875 : x
  2. Step 2: Convert to fraction form
    12,840/19,875 = 19,875/x
  3. Step 3: Cross multiply
    12,840x = 19,875 × 19,875
  4. Step 4: Simplify right side
    12,840x = 395,015,625
  5. Step 5: Solve for x
    x = 395,015,625/12,840
  6. Step 6: Final answer
    x = 30,764.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.