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Finding the Third Proportional to 109,597.50 and 171,316.69

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Solution

The third proportional to 109,597.50 and 171,316.69 is: 267,792.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,597.50 : 171,316.69 = 171,316.69 : x
  2. Step 2: Convert to fraction form
    109,597.50/171,316.69 = 171,316.69/x
  3. Step 3: Cross multiply
    109,597.50x = 171,316.69 × 171,316.69
  4. Step 4: Simplify right side
    109,597.50x = 29,349,407,415.97
  5. Step 5: Solve for x
    x = 29,349,407,415.97/109,597.50
  6. Step 6: Final answer
    x = 267,792.67

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.