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Finding the Third Proportional to 19,848 and 28,220

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Solution

The third proportional to 19,848 and 28,220 is: 40,123.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,848 : 28,220 = 28,220 : x
  2. Step 2: Convert to fraction form
    19,848/28,220 = 28,220/x
  3. Step 3: Cross multiply
    19,848x = 28,220 × 28,220
  4. Step 4: Simplify right side
    19,848x = 796,368,400
  5. Step 5: Solve for x
    x = 796,368,400/19,848
  6. Step 6: Final answer
    x = 40,123.36

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.