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Finding the Third Proportional to 15,274 and 21,791

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Solution

The third proportional to 15,274 and 21,791 is: 31,088.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,274 : 21,791 = 21,791 : x
  2. Step 2: Convert to fraction form
    15,274/21,791 = 21,791/x
  3. Step 3: Cross multiply
    15,274x = 21,791 × 21,791
  4. Step 4: Simplify right side
    15,274x = 474,847,681
  5. Step 5: Solve for x
    x = 474,847,681/15,274
  6. Step 6: Final answer
    x = 31,088.63

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.