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Finding the Third Proportional to 13,911 and 20,862.50

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Solution

The third proportional to 13,911 and 20,862.50 is: 31,287.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,911 : 20,862.50 = 20,862.50 : x
  2. Step 2: Convert to fraction form
    13,911/20,862.50 = 20,862.50/x
  3. Step 3: Cross multiply
    13,911x = 20,862.50 × 20,862.50
  4. Step 4: Simplify right side
    13,911x = 435,243,906.25
  5. Step 5: Solve for x
    x = 435,243,906.25/13,911
  6. Step 6: Final answer
    x = 31,287.75

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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.