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Finding the Third Proportional to 389,906 and 587,739

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Solution

The third proportional to 389,906 and 587,739 is: 885,949.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,906 : 587,739 = 587,739 : x
  2. Step 2: Convert to fraction form
    389,906/587,739 = 587,739/x
  3. Step 3: Cross multiply
    389,906x = 587,739 × 587,739
  4. Step 4: Simplify right side
    389,906x = 345,437,132,121
  5. Step 5: Solve for x
    x = 345,437,132,121/389,906
  6. Step 6: Final answer
    x = 885,949.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.