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Finding the Third Proportional to 27,842 and 42,645

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Solution

The third proportional to 27,842 and 42,645 is: 65,318.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,842 : 42,645 = 42,645 : x
  2. Step 2: Convert to fraction form
    27,842/42,645 = 42,645/x
  3. Step 3: Cross multiply
    27,842x = 42,645 × 42,645
  4. Step 4: Simplify right side
    27,842x = 1,818,596,025
  5. Step 5: Solve for x
    x = 1,818,596,025/27,842
  6. Step 6: Final answer
    x = 65,318.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.