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Finding the Third Proportional to 111,608.50 and 168,419.13

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Solution

The third proportional to 111,608.50 and 168,419.13 is: 254,147.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,608.50 : 168,419.13 = 168,419.13 : x
  2. Step 2: Convert to fraction form
    111,608.50/168,419.13 = 168,419.13/x
  3. Step 3: Cross multiply
    111,608.50x = 168,419.13 × 168,419.13
  4. Step 4: Simplify right side
    111,608.50x = 28,365,001,665.77
  5. Step 5: Solve for x
    x = 28,365,001,665.77/111,608.50
  6. Step 6: Final answer
    x = 254,147.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.