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Finding the Third Proportional to 19,152 and 21,780

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Solution

The third proportional to 19,152 and 21,780 is: 24,768.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,152 : 21,780 = 21,780 : x
  2. Step 2: Convert to fraction form
    19,152/21,780 = 21,780/x
  3. Step 3: Cross multiply
    19,152x = 21,780 × 21,780
  4. Step 4: Simplify right side
    19,152x = 474,368,400
  5. Step 5: Solve for x
    x = 474,368,400/19,152
  6. Step 6: Final answer
    x = 24,768.61

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.