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Finding the Third Proportional to 15,490 and 21,571

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Solution

The third proportional to 15,490 and 21,571 is: 30,039.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,490 : 21,571 = 21,571 : x
  2. Step 2: Convert to fraction form
    15,490/21,571 = 21,571/x
  3. Step 3: Cross multiply
    15,490x = 21,571 × 21,571
  4. Step 4: Simplify right side
    15,490x = 465,308,041
  5. Step 5: Solve for x
    x = 465,308,041/15,490
  6. Step 6: Final answer
    x = 30,039.25

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.