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Finding the Third Proportional to 105,221 and 163,542

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Solution

The third proportional to 105,221 and 163,542 is: 254,188.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,221 : 163,542 = 163,542 : x
  2. Step 2: Convert to fraction form
    105,221/163,542 = 163,542/x
  3. Step 3: Cross multiply
    105,221x = 163,542 × 163,542
  4. Step 4: Simplify right side
    105,221x = 26,745,985,764
  5. Step 5: Solve for x
    x = 26,745,985,764/105,221
  6. Step 6: Final answer
    x = 254,188.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.