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Finding the Third Proportional to 27,390 and 42,247

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Solution

The third proportional to 27,390 and 42,247 is: 65,162.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,390 : 42,247 = 42,247 : x
  2. Step 2: Convert to fraction form
    27,390/42,247 = 42,247/x
  3. Step 3: Cross multiply
    27,390x = 42,247 × 42,247
  4. Step 4: Simplify right side
    27,390x = 1,784,809,009
  5. Step 5: Solve for x
    x = 1,784,809,009/27,390
  6. Step 6: Final answer
    x = 65,162.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.