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Finding the Third Proportional to 116,162 and 170,840.50

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Solution

The third proportional to 116,162 and 170,840.50 is: 251,256.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,162 : 170,840.50 = 170,840.50 : x
  2. Step 2: Convert to fraction form
    116,162/170,840.50 = 170,840.50/x
  3. Step 3: Cross multiply
    116,162x = 170,840.50 × 170,840.50
  4. Step 4: Simplify right side
    116,162x = 29,186,476,440.25
  5. Step 5: Solve for x
    x = 29,186,476,440.25/116,162
  6. Step 6: Final answer
    x = 251,256.66

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.