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Finding the Third Proportional to 40,407 and 86,310

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Solution

The third proportional to 40,407 and 86,310 is: 184,359.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,407 : 86,310 = 86,310 : x
  2. Step 2: Convert to fraction form
    40,407/86,310 = 86,310/x
  3. Step 3: Cross multiply
    40,407x = 86,310 × 86,310
  4. Step 4: Simplify right side
    40,407x = 7,449,416,100
  5. Step 5: Solve for x
    x = 7,449,416,100/40,407
  6. Step 6: Final answer
    x = 184,359.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.