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Finding the Third Proportional to 539,676 and 779,670

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Solution

The third proportional to 539,676 and 779,670 is: 1,126,389.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,676 : 779,670 = 779,670 : x
  2. Step 2: Convert to fraction form
    539,676/779,670 = 779,670/x
  3. Step 3: Cross multiply
    539,676x = 779,670 × 779,670
  4. Step 4: Simplify right side
    539,676x = 607,885,308,900
  5. Step 5: Solve for x
    x = 607,885,308,900/539,676
  6. Step 6: Final answer
    x = 1,126,389.37

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.