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Finding the Third Proportional to 85,371 and 184,420

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Solution

The third proportional to 85,371 and 184,420 is: 398,387.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,371 : 184,420 = 184,420 : x
  2. Step 2: Convert to fraction form
    85,371/184,420 = 184,420/x
  3. Step 3: Cross multiply
    85,371x = 184,420 × 184,420
  4. Step 4: Simplify right side
    85,371x = 34,010,736,400
  5. Step 5: Solve for x
    x = 34,010,736,400/85,371
  6. Step 6: Final answer
    x = 398,387.47

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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.