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Finding the Third Proportional to 7,221 and 11,553

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Solution

The third proportional to 7,221 and 11,553 is: 18,483.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,221 : 11,553 = 11,553 : x
  2. Step 2: Convert to fraction form
    7,221/11,553 = 11,553/x
  3. Step 3: Cross multiply
    7,221x = 11,553 × 11,553
  4. Step 4: Simplify right side
    7,221x = 133,471,809
  5. Step 5: Solve for x
    x = 133,471,809/7,221
  6. Step 6: Final answer
    x = 18,483.84

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.