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Finding the Third Proportional to 15,822 and 22,221

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Solution

The third proportional to 15,822 and 22,221 is: 31,207.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,822 : 22,221 = 22,221 : x
  2. Step 2: Convert to fraction form
    15,822/22,221 = 22,221/x
  3. Step 3: Cross multiply
    15,822x = 22,221 × 22,221
  4. Step 4: Simplify right side
    15,822x = 493,772,841
  5. Step 5: Solve for x
    x = 493,772,841/15,822
  6. Step 6: Final answer
    x = 31,207.99

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.