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Finding the Third Proportional to 15,068 and 21,913

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Solution

The third proportional to 15,068 and 21,913 is: 31,867.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,068 : 21,913 = 21,913 : x
  2. Step 2: Convert to fraction form
    15,068/21,913 = 21,913/x
  3. Step 3: Cross multiply
    15,068x = 21,913 × 21,913
  4. Step 4: Simplify right side
    15,068x = 480,179,569
  5. Step 5: Solve for x
    x = 480,179,569/15,068
  6. Step 6: Final answer
    x = 31,867.51

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.