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Finding the Third Proportional to 197,385 and 299,770

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Solution

The third proportional to 197,385 and 299,770 is: 455,262.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,385 : 299,770 = 299,770 : x
  2. Step 2: Convert to fraction form
    197,385/299,770 = 299,770/x
  3. Step 3: Cross multiply
    197,385x = 299,770 × 299,770
  4. Step 4: Simplify right side
    197,385x = 89,862,052,900
  5. Step 5: Solve for x
    x = 89,862,052,900/197,385
  6. Step 6: Final answer
    x = 455,262.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.