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Finding the Third Proportional to 122,366.25 and 172,321.50

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Solution

The third proportional to 122,366.25 and 172,321.50 is: 242,670.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,366.25 : 172,321.50 = 172,321.50 : x
  2. Step 2: Convert to fraction form
    122,366.25/172,321.50 = 172,321.50/x
  3. Step 3: Cross multiply
    122,366.25x = 172,321.50 × 172,321.50
  4. Step 4: Simplify right side
    122,366.25x = 29,694,699,362.25
  5. Step 5: Solve for x
    x = 29,694,699,362.25/122,366.25
  6. Step 6: Final answer
    x = 242,670.67

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.