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Finding the Third Proportional to 386,576 and 799,670

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Solution

The third proportional to 386,576 and 799,670 is: 1,654,195.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,576 : 799,670 = 799,670 : x
  2. Step 2: Convert to fraction form
    386,576/799,670 = 799,670/x
  3. Step 3: Cross multiply
    386,576x = 799,670 × 799,670
  4. Step 4: Simplify right side
    386,576x = 639,472,108,900
  5. Step 5: Solve for x
    x = 639,472,108,900/386,576
  6. Step 6: Final answer
    x = 1,654,195.06

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.