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Finding the Third Proportional to 111,135 and 172,130

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Solution

The third proportional to 111,135 and 172,130 is: 266,601.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,135 : 172,130 = 172,130 : x
  2. Step 2: Convert to fraction form
    111,135/172,130 = 172,130/x
  3. Step 3: Cross multiply
    111,135x = 172,130 × 172,130
  4. Step 4: Simplify right side
    111,135x = 29,628,736,900
  5. Step 5: Solve for x
    x = 29,628,736,900/111,135
  6. Step 6: Final answer
    x = 266,601.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.