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Finding the Third Proportional to 106,986 and 154,201.50

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Solution

The third proportional to 106,986 and 154,201.50 is: 222,254.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,986 : 154,201.50 = 154,201.50 : x
  2. Step 2: Convert to fraction form
    106,986/154,201.50 = 154,201.50/x
  3. Step 3: Cross multiply
    106,986x = 154,201.50 × 154,201.50
  4. Step 4: Simplify right side
    106,986x = 23,778,102,602.25
  5. Step 5: Solve for x
    x = 23,778,102,602.25/106,986
  6. Step 6: Final answer
    x = 222,254.34

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.