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Finding the Third Proportional to 61,190 and 129,670

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Solution

The third proportional to 61,190 and 129,670 is: 274,788.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,190 : 129,670 = 129,670 : x
  2. Step 2: Convert to fraction form
    61,190/129,670 = 129,670/x
  3. Step 3: Cross multiply
    61,190x = 129,670 × 129,670
  4. Step 4: Simplify right side
    61,190x = 16,814,308,900
  5. Step 5: Solve for x
    x = 16,814,308,900/61,190
  6. Step 6: Final answer
    x = 274,788.51

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.