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Finding the Third Proportional to 95,260 and 201,212

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Solution

The third proportional to 95,260 and 201,212 is: 425,008.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,260 : 201,212 = 201,212 : x
  2. Step 2: Convert to fraction form
    95,260/201,212 = 201,212/x
  3. Step 3: Cross multiply
    95,260x = 201,212 × 201,212
  4. Step 4: Simplify right side
    95,260x = 40,486,268,944
  5. Step 5: Solve for x
    x = 40,486,268,944/95,260
  6. Step 6: Final answer
    x = 425,008.07

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.