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Finding the Third Proportional to 4,221 and 4,581

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Solution

The third proportional to 4,221 and 4,581 is: 4,971.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,221 : 4,581 = 4,581 : x
  2. Step 2: Convert to fraction form
    4,221/4,581 = 4,581/x
  3. Step 3: Cross multiply
    4,221x = 4,581 × 4,581
  4. Step 4: Simplify right side
    4,221x = 20,985,561
  5. Step 5: Solve for x
    x = 20,985,561/4,221
  6. Step 6: Final answer
    x = 4,971.70

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.