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Finding the Third Proportional to 184,742 and 398,312

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Solution

The third proportional to 184,742 and 398,312 is: 858,778.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,742 : 398,312 = 398,312 : x
  2. Step 2: Convert to fraction form
    184,742/398,312 = 398,312/x
  3. Step 3: Cross multiply
    184,742x = 398,312 × 398,312
  4. Step 4: Simplify right side
    184,742x = 158,652,449,344
  5. Step 5: Solve for x
    x = 158,652,449,344/184,742
  6. Step 6: Final answer
    x = 858,778.46

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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.