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Finding the Third Proportional to 126,670 and 197,674

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Solution

The third proportional to 126,670 and 197,674 is: 308,478.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,670 : 197,674 = 197,674 : x
  2. Step 2: Convert to fraction form
    126,670/197,674 = 197,674/x
  3. Step 3: Cross multiply
    126,670x = 197,674 × 197,674
  4. Step 4: Simplify right side
    126,670x = 39,075,010,276
  5. Step 5: Solve for x
    x = 39,075,010,276/126,670
  6. Step 6: Final answer
    x = 308,478.81

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.