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Finding the Third Proportional to 13,020 and 20,148

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Solution

The third proportional to 13,020 and 20,148 is: 31,178.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,020 : 20,148 = 20,148 : x
  2. Step 2: Convert to fraction form
    13,020/20,148 = 20,148/x
  3. Step 3: Cross multiply
    13,020x = 20,148 × 20,148
  4. Step 4: Simplify right side
    13,020x = 405,941,904
  5. Step 5: Solve for x
    x = 405,941,904/13,020
  6. Step 6: Final answer
    x = 31,178.33

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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.