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Finding the Third Proportional to 184,685 and 398,902

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Solution

The third proportional to 184,685 and 398,902 is: 861,590.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,685 : 398,902 = 398,902 : x
  2. Step 2: Convert to fraction form
    184,685/398,902 = 398,902/x
  3. Step 3: Cross multiply
    184,685x = 398,902 × 398,902
  4. Step 4: Simplify right side
    184,685x = 159,122,805,604
  5. Step 5: Solve for x
    x = 159,122,805,604/184,685
  6. Step 6: Final answer
    x = 861,590.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.