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Finding the Third Proportional to 121,636.50 and 193,697.25

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Solution

The third proportional to 121,636.50 and 193,697.25 is: 308,448.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,636.50 : 193,697.25 = 193,697.25 : x
  2. Step 2: Convert to fraction form
    121,636.50/193,697.25 = 193,697.25/x
  3. Step 3: Cross multiply
    121,636.50x = 193,697.25 × 193,697.25
  4. Step 4: Simplify right side
    121,636.50x = 37,518,624,657.56
  5. Step 5: Solve for x
    x = 37,518,624,657.56/121,636.50
  6. Step 6: Final answer
    x = 308,448.74

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.