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Finding the Third Proportional to 111,025.13 and 160,250.25

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Solution

The third proportional to 111,025.13 and 160,250.25 is: 231,300.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,025.13 : 160,250.25 = 160,250.25 : x
  2. Step 2: Convert to fraction form
    111,025.13/160,250.25 = 160,250.25/x
  3. Step 3: Cross multiply
    111,025.13x = 160,250.25 × 160,250.25
  4. Step 4: Simplify right side
    111,025.13x = 25,680,142,625.06
  5. Step 5: Solve for x
    x = 25,680,142,625.06/111,025.13
  6. Step 6: Final answer
    x = 231,300.28

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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.