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Finding the Third Proportional to 28,017 and 42,131

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Solution

The third proportional to 28,017 and 42,131 is: 63,355.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,017 : 42,131 = 42,131 : x
  2. Step 2: Convert to fraction form
    28,017/42,131 = 42,131/x
  3. Step 3: Cross multiply
    28,017x = 42,131 × 42,131
  4. Step 4: Simplify right side
    28,017x = 1,775,021,161
  5. Step 5: Solve for x
    x = 1,775,021,161/28,017
  6. Step 6: Final answer
    x = 63,355.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.