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Finding the Third Proportional to 11,572 and 15,818

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Solution

The third proportional to 11,572 and 15,818 is: 21,621.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,572 : 15,818 = 15,818 : x
  2. Step 2: Convert to fraction form
    11,572/15,818 = 15,818/x
  3. Step 3: Cross multiply
    11,572x = 15,818 × 15,818
  4. Step 4: Simplify right side
    11,572x = 250,209,124
  5. Step 5: Solve for x
    x = 250,209,124/11,572
  6. Step 6: Final answer
    x = 21,621.94

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.