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Finding the Third Proportional to 61,670 and 131,764

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Solution

The third proportional to 61,670 and 131,764 is: 281,526.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,670 : 131,764 = 131,764 : x
  2. Step 2: Convert to fraction form
    61,670/131,764 = 131,764/x
  3. Step 3: Cross multiply
    61,670x = 131,764 × 131,764
  4. Step 4: Simplify right side
    61,670x = 17,361,751,696
  5. Step 5: Solve for x
    x = 17,361,751,696/61,670
  6. Step 6: Final answer
    x = 281,526.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.