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Finding the Third Proportional to 13,250 and 19,875

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Solution

The third proportional to 13,250 and 19,875 is: 29,812.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,250 : 19,875 = 19,875 : x
  2. Step 2: Convert to fraction form
    13,250/19,875 = 19,875/x
  3. Step 3: Cross multiply
    13,250x = 19,875 × 19,875
  4. Step 4: Simplify right side
    13,250x = 395,015,625
  5. Step 5: Solve for x
    x = 395,015,625/13,250
  6. Step 6: Final answer
    x = 29,812.50

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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.