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Finding the Third Proportional to 121,529 and 163,601.50

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Solution

The third proportional to 121,529 and 163,601.50 is: 220,239.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,529 : 163,601.50 = 163,601.50 : x
  2. Step 2: Convert to fraction form
    121,529/163,601.50 = 163,601.50/x
  3. Step 3: Cross multiply
    121,529x = 163,601.50 × 163,601.50
  4. Step 4: Simplify right side
    121,529x = 26,765,450,802.25
  5. Step 5: Solve for x
    x = 26,765,450,802.25/121,529
  6. Step 6: Final answer
    x = 220,239.21

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.