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Finding the Third Proportional to 64,194 and 141,196

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Solution

The third proportional to 64,194 and 141,196 is: 310,563.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,194 : 141,196 = 141,196 : x
  2. Step 2: Convert to fraction form
    64,194/141,196 = 141,196/x
  3. Step 3: Cross multiply
    64,194x = 141,196 × 141,196
  4. Step 4: Simplify right side
    64,194x = 19,936,310,416
  5. Step 5: Solve for x
    x = 19,936,310,416/64,194
  6. Step 6: Final answer
    x = 310,563.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.