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Finding the Third Proportional to 66,100 and 137,670

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Solution

The third proportional to 66,100 and 137,670 is: 286,732.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,100 : 137,670 = 137,670 : x
  2. Step 2: Convert to fraction form
    66,100/137,670 = 137,670/x
  3. Step 3: Cross multiply
    66,100x = 137,670 × 137,670
  4. Step 4: Simplify right side
    66,100x = 18,953,028,900
  5. Step 5: Solve for x
    x = 18,953,028,900/66,100
  6. Step 6: Final answer
    x = 286,732.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.