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Finding the Third Proportional to 19,116 and 20,574

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Solution

The third proportional to 19,116 and 20,574 is: 22,143.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,116 : 20,574 = 20,574 : x
  2. Step 2: Convert to fraction form
    19,116/20,574 = 20,574/x
  3. Step 3: Cross multiply
    19,116x = 20,574 × 20,574
  4. Step 4: Simplify right side
    19,116x = 423,289,476
  5. Step 5: Solve for x
    x = 423,289,476/19,116
  6. Step 6: Final answer
    x = 22,143.20

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.